All Stories

  1. Reply to Comment on ‘Revisiting the probe and enclosure methods’

    Article • Inverse Problems, November 2023, Institute of Physics Publishing

    Prof. Masaru Ikehata

  2. On finding a penetrable obstacle using a single electromagnetic wave in the time domain

    Article • Journal of Inverse and Ill-Posed Problems, March 2023, De Gruyter

    Prof. Masaru Ikehata

  3. Extracting discontinuity using the probe and enclosure methods

    Article • Journal of Inverse and Ill-Posed Problems, March 2023, De Gruyter

    Prof. Masaru Ikehata

  4. The enclosure method for the detection of variable order in fractional diffusion equations

    Article • Inverse Problems and Imaging, January 2023, American Institute of Mathematical Sciences (AIMS)

    Prof. Masaru Ikehata

  5. Revisiting the probe and enclosure methods

    Article • Inverse Problems, June 2022, Institute of Physics Publishing

    Prof. Masaru Ikehata

  6. Reconstruction of a source domain from the Cauchy data: II. Three-dimensional case

    Article • Inverse Problems, November 2021, Institute of Physics Publishing

    Prof. Masaru Ikehata

  7. The enclosure method for inverse obstacle scattering over a finite time interval: VI. Using shell-type initial data

    Article • Journal of Inverse and Ill-Posed Problems, June 2020, De Gruyter

    Prof. Masaru Ikehata

  8. The enclosure method for the heat equation using time-reversal invariance for a wave equation

    Article • Journal of Inverse and Ill-Posed Problems, February 2020, De Gruyter

    Prof. Masaru Ikehata

  9. Prescribing a heat flux coming from a wave equation

    Article • Journal of Inverse and Ill-Posed Problems, October 2019, De Gruyter

    Prof. Masaru Ikehata

  10. The enclosure method for inverse obstacle scattering over a finite time interval: V. Using time-reversal invariance

    Article • Journal of Inverse and Ill-Posed Problems, February 2019, De Gruyter

    Prof. Masaru Ikehata

  11. Detecting a hidden obstacle via the time domain enclosure method. A scalar wave case

    Article • Mathematical Methods in the Applied Sciences, January 2019, Wiley

    Prof. Masaru Ikehata

  12. On finding the surface admittance of an obstacle via the time domain enclosure method

    Article • Inverse Problems and Imaging, January 2019, American Institute of Mathematical Sciences (AIMS)

    Prof. Masaru Ikehata

  13. On finding a buried obstacle in a layered medium via the time domain enclosure method in the case of possible total reflection phenomena

    Article • Inverse Problems and Imaging, January 2019, American Institute of Mathematical Sciences (AIMS)

    Prof. Masaru Ikehata

  14. Revealing cracks inside conductive bodies by electric surface measurements

    Article • Inverse Problems, December 2018, Institute of Physics Publishing

    Prof. Masaru Ikehata

  15. On finding a cavity in a thermoelastic body using a single displacement measurement over a finite time interval on the surface of the body

    Article • Journal of Inverse and Ill-Posed Problems, January 2018, De Gruyter

    Prof. Masaru Ikehata

  16. On finding a buried obstacle in a layered medium via the time domain enclosure method

    Article • Inverse Problems and Imaging, January 2018, American Institute of Mathematical Sciences (AIMS)

    Prof. Masaru Ikehata

  17. The enclosure method for inverse obstacle scattering over a finite time interval: IV. Extraction from a single point on the graph of the response operator

    Article • Journal of Inverse and Ill-Posed Problems, December 2017, De Gruyter

    Prof. Masaru Ikehata

  18. Trusted frequency region of convergence for the enclosure method in thermal imaging

    Article • Journal of Inverse and Ill-Posed Problems, January 2017, De Gruyter

    Prof. Masaru Ikehata

  19. On finding an obstacle with the Leontovich boundary condition via the time domain enclosure method

    Article • Inverse Problems and Imaging, January 2017, American Institute of Mathematical Sciences (AIMS)

    Prof. Masaru Ikehata

  20. Finding the dissipative boundary condition via the enclosure method

    Article • Mathematical Methods in the Applied Sciences, June 2016, Wiley

    Prof. Masaru Ikehata

  21. The enclosure method for inverse obstacle scattering using a single electromagnetic wave in time domain

    Article • Inverse Problems and Imaging, February 2016, American Institute of Mathematical Sciences (AIMS)

    Prof. Masaru Ikehata

  22. The enclosure method for an inverse problem arising from a spot welding

    Article • Mathematical Methods in the Applied Sciences, December 2015, Wiley

    Prof. Masaru Ikehata

  23. On finding an obstacle embedded in the rough background medium via the enclosure method in the time domain

    Article • Inverse Problems, July 2015, Institute of Physics Publishing

    Prof. Masaru Ikehata

  24. An inverse problem for a three-dimensional heat equation in thermal imaging and the enclosure method

    Article • Inverse Problems and Imaging, November 2014, American Institute of Mathematical Sciences (AIMS)

    Prof. Masaru Ikehata

  25. Extracting the geometry of an obstacle and a zeroth-order coefficient of a boundary condition via the enclosure method using a single reflected wave over a finite time interval

    Article • Inverse Problems, March 2014, Institute of Physics Publishing

    Prof. Masaru Ikehata

  26. Estimates of the integral kernels arising from inverse problems for a three-dimensional heat equation in thermal imaging

    Article • Kyoto Journal of Mathematics, January 2014, Duke University Press

    Prof. Masaru Ikehata

  27. The enclosure method for inverse obstacle scattering problems with dynamical data over a finite time interval: III. Sound-soft obstacle and bistatic data

    Article • Inverse Problems, July 2013, Institute of Physics Publishing

    Prof. Masaru Ikehata

  28. On reconstruction of a cavity in a linearized viscoelastic body from infinitely many transient boundary data

    Article • Inverse Problems, November 2012, Institute of Physics Publishing

    Prof. Masaru Ikehata

  29. An inverse acoustic scattering problem inside a cavity with dynamical back-scattering data

    Article • Inverse Problems, August 2012, Institute of Physics Publishing

    Prof. Masaru Ikehata

  30. The enclosure method for inverse obstacle scattering problems with dynamical data over a finite time interval: II. Obstacles with a dissipative boundary or finite refractive index and back-scattering data

    Article • Inverse Problems, March 2012, Institute of Physics Publishing

    Prof. Masaru Ikehata

  31. On uniqueness in the inverse obstacle problem via the positive supersolutions of the Helmholtz equation

    Article • Inverse Problems, February 2012, Institute of Physics Publishing

    Prof. Masaru Ikehata

  32. Inverse obstacle scattering with limited-aperture data

    Article • Inverse Problems and Imaging, February 2012, American Institute of Mathematical Sciences (AIMS)

    Prof. Masaru Ikehata

  33. Inverse obstacle scattering problems with a single incident wave and the logarithmic differential of the indicator function in the enclosure method

    Article • Inverse Problems, July 2011, Institute of Physics Publishing

    Prof. Masaru Ikehata

  34. The framework of the enclosure method with dynamical data and its applications

    Article • Inverse Problems, May 2011, Institute of Physics Publishing

    Prof. Masaru Ikehata

  35. On reconstruction of an unknown polygonal cavity in a linearized elasticity with one measurement

    Article • Journal of Physics Conference Series, April 2011, Institute of Physics Publishing

    Prof. Masaru Ikehata

  36. A note on the enclosure method for an inverse obstacle scattering problem with a single point source

    Article • Inverse Problems, August 2010, Institute of Physics Publishing

    Prof. Masaru Ikehata

  37. On the reconstruction of inclusions in a heat conductive body from dynamical boundary data over a finite time interval

    Article • Inverse Problems, July 2010, Institute of Physics Publishing

    Prof. Masaru Ikehata

  38. The enclosure method for inverse obstacle scattering problems with dynamical data over a finite time interval

    Article • Inverse Problems, April 2010, Institute of Physics Publishing

    Prof. Masaru Ikehata

  39. Mittag–Leffler's function, Vekua transform and an inverse obstacle scattering problem

    Article • Inverse Problems, March 2010, Institute of Physics Publishing

    Prof. Masaru Ikehata

  40. Extracting the support function of a cavity in an isotropic elastic body from a single set of boundary data

    Article • Inverse Problems, September 2009, Institute of Physics Publishing

    Prof. Masaru Ikehata

  41. The enclosure method for the heat equation

    Article • Inverse Problems, June 2009, Institute of Physics Publishing

    Prof. Masaru Ikehata

  42. Two analytical formulae of the temperature inside a body by using partial lateral and initial data

    Article • Inverse Problems, January 2009, Institute of Physics Publishing

    Prof. Masaru Ikehata

  43. Enclosure method and reconstruction of a linear crack in an elastic body

    Article • Journal of Physics Conference Series, November 2008, Institute of Physics Publishing

    Prof. Masaru Ikehata

  44. An inverse problem for a linear crack in an anisotropic elastic body and the enclosure method

    Article • Inverse Problems, February 2008, Institute of Physics Publishing

    Prof. Masaru Ikehata

  45. The enclosure method for an inverse crack problem and the Mittag–Leffler function

    Article • Inverse Problems, December 2007, Institute of Physics Publishing

    Prof. Masaru Ikehata

  46. On inverse crack problems in elastostatics

    Article • PAMM, December 2007, Wiley

    Prof. Masaru Ikehata

  47. Probe method and a Carleman function

    Article • Inverse Problems, August 2007, Institute of Physics Publishing

    Prof. Masaru Ikehata

  48. Extracting discontinuity in a heat conductive body. One-space dimensional case

    Article • Applicable Analysis, August 2007, Taylor & Francis

    Prof. Masaru Ikehata

  49. Virtual signal in the heat equation and the enclosure method

    Article • Journal of Physics Conference Series, June 2007, Institute of Physics Publishing

    Prof. Masaru Ikehata

  50. Reconstruction of a linear crack in an isotropic elastic body from a single set of measured data

    Article • Inverse Problems, February 2007, Institute of Physics Publishing

    Prof. Masaru Ikehata

  51. An inverse source problem for the heat equation and the enclosure method

    Article • Inverse Problems, December 2006, Institute of Physics Publishing

    Prof. Masaru Ikehata

  52. Two sides of probe method and obstacle with impedance boundary condition

    Article • Hokkaido Mathematical Journal, August 2006, Department of Mathematics, Hokkaido University

    Prof. Masaru Ikehata

  53. Stroh eigenvalues and identification of discontinuity in an anisotropic elastic material

    Article • January 2006, American Mathematical Society (AMS)

    Prof. Masaru Ikehata

  54. An inverse source problem for the Lamé system with variable coefficients

    Article • Applicable Analysis, April 2005, Taylor & Francis

    Prof. Masaru Ikehata

  55. A new formulation of the probe method and related problems

    Article • Inverse Problems, January 2005, Institute of Physics Publishing

    Prof. Masaru Ikehata

  56. An Inverse Transmission Scattering Problem and the Enclosure Method

    Article • Computing, January 2005, Springer Science + Business Media

    Prof. Masaru Ikehata

  57. Electrical impedance tomography and Mittag-Leffler's function

    Article • Inverse Problems, July 2004, Institute of Physics Publishing

    Prof. Masaru Ikehata

  58. Inverse boundary value problem for ocean acoustics using point sources

    Article • Mathematical Methods in the Applied Sciences, July 2004, Wiley

    Prof. Masaru Ikehata

  59. Inverse scattering problems and the enclosure method

    Article • Inverse Problems, February 2004, Institute of Physics Publishing

    Prof. Masaru Ikehata

  60. Reconstruction of inclusions for the inverse boundary value problem with mixed type boundary condition

    Article • Applicable Analysis, February 2004, Taylor & Francis

    Prof. Masaru Ikehata

  61. Mittag-Leffler’s function and extracting from Cauchy data

    Article • January 2004, American Mathematical Society (AMS)

    Prof. Masaru Ikehata

  62. Numerical Solution of the Cauchy Problem for the Stationary Schrödinger Equation Using Faddeev's Green Function

    Article • SIAM Journal on Applied Mathematics, January 2004, Society for Industrial & Applied Mathematics (SIAM)

    Prof. Masaru Ikehata

  63. Pointwise reconstruction of the jump at the boundaries of inclusions

    Article • January 2004, American Mathematical Society (AMS)

    Prof. Masaru Ikehata

  64. Complex geometrical optics solutions and inverse crack problems

    Article • Inverse Problems, November 2003, Institute of Physics Publishing

    Prof. Masaru Ikehata

  65. Extracting the Convex Hull of an Unknown Inclusion in the Multilayered Material

    Article • Applicable Analysis, September 2003, Taylor & Francis

    Prof. Masaru Ikehata

  66. Exponentially growing solutions, multilayered anisotropic material and the enclosure method

    Article • Inverse Problems, August 2003, Institute of Physics Publishing

    Prof. Masaru Ikehata

  67. Reconstruction Formula for Identifying Cracks

    Article • Journal of Elasticity, January 2003, Springer Science + Business Media

    Prof. Masaru Ikehata

  68. Extraction formulae for an inverse boundary value problem for the equation $\nabla$ $middot$ ($\sigma$ $minus$i $\omega$$\epsilon$)$\nabla$u $equal$ 0

    Article • Inverse Problems, July 2002, Institute of Physics Publishing

    Prof. Masaru Ikehata

  69. A regularized extraction formula in the enclosure method

    Article • Inverse Problems, March 2002, Institute of Physics Publishing

    Prof. Masaru Ikehata

  70. A numerical method for finding the convex hull of polygonal cavities using the enclosure method

    Article • Inverse Problems, January 2002, Institute of Physics Publishing

    Prof. Masaru Ikehata

  71. Reconstruction of inclusion from boundary measurements

    Article • Journal of Inverse and Ill-Posed Problems, January 2002, De Gruyter

    Prof. Masaru Ikehata

  72. Exponentially growing solutions and the cauchy problem

    Article • Applicable Analysis, June 2001, Taylor & Francis

    Prof. Masaru Ikehata

  73. Inverse conductivity problem in the infinite slab

    Article • Inverse Problems, April 2001, Institute of Physics Publishing

    Prof. Masaru Ikehata

  74. Inverse boundary value problem for ocean acoustics

    Article • Mathematical Methods in the Applied Sciences, January 2001, Wiley

    Prof. Masaru Ikehata

  75. The Enclosure Method and its Applications

    Article • January 2001, Springer Science + Business Media

    Prof. Masaru Ikehata

  76. Inverse Boundary-Value Problem for Ocean Acoustics Using Point Sources

    Article • January 2001, Springer Science + Business Media

    Prof. Masaru Ikehata

  77. On reconstruction from a partial knowledge of the Neumann-to-Dirichlet operator

    Article • Inverse Problems, December 2000, Institute of Physics Publishing

    Prof. Masaru Ikehata

  78. Numerical method for finding the convex hull of an inclusion in conductivity from boundary measurements

    Article • Inverse Problems, August 2000, Institute of Physics Publishing

    Prof. Masaru Ikehata

  79. Direct and inverse inequalities for the isotropic Lamé system with variable coefficients

    Article • Comptes Rendus de l Académie des Sciences - Series IIB - Mechanics, July 2000, Elsevier

    Prof. Masaru Ikehata

  80. On reconstruction in the inverse conductivity problem with one measurement

    Article • Inverse Problems, June 2000, Institute of Physics Publishing

    Prof. Masaru Ikehata

  81. Reconstruction of the support function for inclusion from boundary measurements

    Article • Journal of Inverse and Ill-Posed Problems, January 2000, De Gruyter

    Prof. Masaru Ikehata

  82. Identification of the curve of discontinuity of the determinant of the anisotropic conductivity

    Article • Journal of Inverse and Ill-Posed Problems, January 2000, De Gruyter

    Prof. Masaru Ikehata

  83. Inverse boundary value problem for ocean acoustics

    Article • Mathematical Methods in the Applied Sciences, January 2000, Wiley

    Prof. Masaru Ikehata

  84. Enclosing a polygonal cavity in a two-dimensional bounded domain from Cauchy data

    Article • Inverse Problems, October 1999, Institute of Physics Publishing

    Prof. Masaru Ikehata

  85. Slicing of a three-dimensional object from boundary measurements

    Article • Inverse Problems, October 1999, Institute of Physics Publishing

    Prof. Masaru Ikehata

  86. Reconstruction of obstacle from boundary measurements

    Article • Wave Motion, October 1999, Elsevier

    Prof. Masaru Ikehata

  87. Identification of the shape of the inclusion in the anisotropic elastic body

    Article • Applicable Analysis, February 1999, Taylor & Francis

    Prof. Masaru Ikehata

  88. Reconstruction of a source domain from the Cauchy data

    Article • Inverse Problems, January 1999, Institute of Physics Publishing

    Prof. Masaru Ikehata

  89. How to draw a picture of an unknown inclusion from boundary measurements. Two mathematical inversion algorithms

    Article • Journal of Inverse and Ill-Posed Problems, January 1999, De Gruyter

    Prof. Masaru Ikehata

  90. Identification of the shape of the inclusion having essentially bounded conductivity

    Article • Journal of Inverse and Ill-Posed Problems, January 1999, De Gruyter

    Prof. Masaru Ikehata

  91. Reconstruction of an obstacle from the scattering amplitude at a fixed frequency

    Article • Inverse Problems, August 1998, Institute of Physics Publishing

    Prof. Masaru Ikehata

  92. Reconstruction of the shape of the inclusion by boundary measurements

    Article • Communications in Partial Differential Equations, January 1998, Taylor & Francis

    Prof. Masaru Ikehata

  93. Unique continuation for a stationary isotropic lamé system with variable coefficients

    Article • Communications in Partial Differential Equations, January 1998, Taylor & Francis

    Prof. Masaru Ikehata

  94. Size estimation of inclusion

    Article • Journal of Inverse and Ill-Posed Problems, January 1998, De Gruyter

    Prof. Masaru Ikehata

  95. The Linearization of the Dirichlet-to-Neumann Map in the Anisotropic Kirchhoff–Love Plate Theory

    Article • SIAM Journal on Applied Mathematics, October 1996, Society for Industrial & Applied Mathematics (SIAM)

    Prof. Masaru Ikehata

  96. A relationship between two Dirichlet to Neumann maps in anisotrpoic elastic plate theory

    Article • Journal of Inverse and Ill-Posed Problems, January 1996, De Gruyter

    Prof. Masaru Ikehata

  97. The linearization of the Dirichlet to Neumann map in anisotropic plate theory

    Article • Inverse Problems, February 1995, Institute of Physics Publishing

    Prof. Masaru Ikehata

  98. A Weighted L2-Estimate for the Green-Faddeev Function for the Laplace Operator in R2

    Article • Journal of Mathematical Analysis and Applications, November 1994, Elsevier

    Prof. Masaru Ikehata

  99. An Inverse Problem for the Plate in the Love–Kirchhoff Theory

    Article • SIAM Journal on Applied Mathematics, August 1993, Society for Industrial & Applied Mathematics (SIAM)

    Prof. Masaru Ikehata

  100. A special green's function for the biharmonic operator and its application to an inverse boundary value problem

    Article • Computers & Mathematics with Applications, January 1991, Elsevier

    Prof. Masaru Ikehata

  101. Inversion Formulas for the Linearized Problem for an Inverse Boundary Value Problem in Elastic Prospection

    Article • SIAM Journal on Applied Mathematics, December 1990, Society for Industrial & Applied Mathematics (SIAM)

    Prof. Masaru Ikehata

  102. Decaying and nondecaying properties of the local energy of an elastic wave outside an obstacle

    Article • Japan Journal of Applied Mathematics, February 1989, Springer Science + Business Media

    Prof. Masaru Ikehata

  103. On the inverse scattering problem for the acoustic equation

    Article • Journal of the Mathematical Society of Japan, April 1987, Mathematical Society of Japan (Project Euclid)

    Prof. Masaru Ikehata

  104. Reconstruction Formula for Identifying Cracks

    Article • Springer Science + Business Media

    Prof. Masaru Ikehata