All Stories

  1. Reply to Comment on ‘Revisiting the probe and enclosure methods’
  2. On finding a penetrable obstacle using a single electromagnetic wave in the time domain
  3. Extracting discontinuity using the probe and enclosure methods
  4. The enclosure method for the detection of variable order in fractional diffusion equations
  5. Revisiting the probe and enclosure methods
  6. Reconstruction of a source domain from the Cauchy data: II. Three-dimensional case
  7. The enclosure method for inverse obstacle scattering over a finite time interval: VI. Using shell-type initial data
  8. The enclosure method for the heat equation using time-reversal invariance for a wave equation
  9. Prescribing a heat flux coming from a wave equation
  10. The enclosure method for inverse obstacle scattering over a finite time interval: V. Using time-reversal invariance
  11. Detecting a hidden obstacle via the time domain enclosure method. A scalar wave case
  12. On finding the surface admittance of an obstacle via the time domain enclosure method
  13. On finding a buried obstacle in a layered medium via the time domain enclosure method in the case of possible total reflection phenomena
  14. Revealing cracks inside conductive bodies by electric surface measurements
  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
  16. On finding a buried obstacle in a layered medium via the time domain enclosure method
  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
  18. Trusted frequency region of convergence for the enclosure method in thermal imaging
  19. On finding an obstacle with the Leontovich boundary condition via the time domain enclosure method
  20. Finding the dissipative boundary condition via the enclosure method
  21. The enclosure method for inverse obstacle scattering using a single electromagnetic wave in time domain
  22. The enclosure method for an inverse problem arising from a spot welding
  23. On finding an obstacle embedded in the rough background medium via the enclosure method in the time domain
  24. An inverse problem for a three-dimensional heat equation in thermal imaging and the enclosure method
  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
  26. Estimates of the integral kernels arising from inverse problems for a three-dimensional heat equation in thermal imaging
  27. The enclosure method for inverse obstacle scattering problems with dynamical data over a finite time interval: III. Sound-soft obstacle and bistatic data
  28. On reconstruction of a cavity in a linearized viscoelastic body from infinitely many transient boundary data
  29. An inverse acoustic scattering problem inside a cavity with dynamical back-scattering data
  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
  31. On uniqueness in the inverse obstacle problem via the positive supersolutions of the Helmholtz equation
  32. Inverse obstacle scattering with limited-aperture data
  33. Inverse obstacle scattering problems with a single incident wave and the logarithmic differential of the indicator function in the enclosure method
  34. The framework of the enclosure method with dynamical data and its applications
  35. On reconstruction of an unknown polygonal cavity in a linearized elasticity with one measurement
  36. A note on the enclosure method for an inverse obstacle scattering problem with a single point source
  37. On the reconstruction of inclusions in a heat conductive body from dynamical boundary data over a finite time interval
  38. The enclosure method for inverse obstacle scattering problems with dynamical data over a finite time interval
  39. Mittag–Leffler's function, Vekua transform and an inverse obstacle scattering problem
  40. Extracting the support function of a cavity in an isotropic elastic body from a single set of boundary data
  41. The enclosure method for the heat equation
  42. Two analytical formulae of the temperature inside a body by using partial lateral and initial data
  43. Enclosure method and reconstruction of a linear crack in an elastic body
  44. An inverse problem for a linear crack in an anisotropic elastic body and the enclosure method
  45. The enclosure method for an inverse crack problem and the Mittag–Leffler function
  46. On inverse crack problems in elastostatics
  47. Probe method and a Carleman function
  48. Extracting discontinuity in a heat conductive body. One-space dimensional case
  49. Virtual signal in the heat equation and the enclosure method
  50. Reconstruction of a linear crack in an isotropic elastic body from a single set of measured data
  51. An inverse source problem for the heat equation and the enclosure method
  52. Two sides of probe method and obstacle with impedance boundary condition
  53. Stroh eigenvalues and identification of discontinuity in an anisotropic elastic material
  54. An inverse source problem for the Lamé system with variable coefficients
  55. A new formulation of the probe method and related problems
  56. An Inverse Transmission Scattering Problem and the Enclosure Method
  57. Electrical impedance tomography and Mittag-Leffler's function
  58. Inverse boundary value problem for ocean acoustics using point sources
  59. Inverse scattering problems and the enclosure method
  60. Reconstruction of inclusions for the inverse boundary value problem with mixed type boundary condition
  61. Mittag-Leffler’s function and extracting from Cauchy data
  62. Numerical Solution of the Cauchy Problem for the Stationary Schrödinger Equation Using Faddeev's Green Function
  63. Pointwise reconstruction of the jump at the boundaries of inclusions
  64. Complex geometrical optics solutions and inverse crack problems
  65. Extracting the Convex Hull of an Unknown Inclusion in the Multilayered Material
  66. Exponentially growing solutions, multilayered anisotropic material and the enclosure method
  67. Reconstruction Formula for Identifying Cracks
  68. Extraction formulae for an inverse boundary value problem for the equation $\nabla$ $middot$ ($\sigma$ $minus$i $\omega$$\epsilon$)$\nabla$u $equal$ 0
  69. A regularized extraction formula in the enclosure method
  70. A numerical method for finding the convex hull of polygonal cavities using the enclosure method
  71. Reconstruction of inclusion from boundary measurements
  72. Exponentially growing solutions and the cauchy problem
  73. Inverse conductivity problem in the infinite slab
  74. Inverse boundary value problem for ocean acoustics
  75. The Enclosure Method and its Applications
  76. Inverse Boundary-Value Problem for Ocean Acoustics Using Point Sources
  77. On reconstruction from a partial knowledge of the Neumann-to-Dirichlet operator
  78. Numerical method for finding the convex hull of an inclusion in conductivity from boundary measurements
  79. Direct and inverse inequalities for the isotropic Lamé system with variable coefficients
  80. On reconstruction in the inverse conductivity problem with one measurement
  81. Reconstruction of the support function for inclusion from boundary measurements
  82. Identification of the curve of discontinuity of the determinant of the anisotropic conductivity
  83. Inverse boundary value problem for ocean acoustics
  84. Enclosing a polygonal cavity in a two-dimensional bounded domain from Cauchy data
  85. Slicing of a three-dimensional object from boundary measurements
  86. Reconstruction of obstacle from boundary measurements
  87. Identification of the shape of the inclusion in the anisotropic elastic body
  88. Reconstruction of a source domain from the Cauchy data
  89. How to draw a picture of an unknown inclusion from boundary measurements. Two mathematical inversion algorithms
  90. Identification of the shape of the inclusion having essentially bounded conductivity
  91. Reconstruction of an obstacle from the scattering amplitude at a fixed frequency
  92. Reconstruction of the shape of the inclusion by boundary measurements
  93. Unique continuation for a stationary isotropic lamé system with variable coefficients
  94. Size estimation of inclusion
  95. The Linearization of the Dirichlet-to-Neumann Map in the Anisotropic Kirchhoff–Love Plate Theory
  96. A relationship between two Dirichlet to Neumann maps in anisotrpoic elastic plate theory
  97. The linearization of the Dirichlet to Neumann map in anisotropic plate theory
  98. A Weighted L2-Estimate for the Green-Faddeev Function for the Laplace Operator in R2
  99. An Inverse Problem for the Plate in the Love–Kirchhoff Theory
  100. A special green's function for the biharmonic operator and its application to an inverse boundary value problem
  101. Inversion Formulas for the Linearized Problem for an Inverse Boundary Value Problem in Elastic Prospection
  102. Decaying and nondecaying properties of the local energy of an elastic wave outside an obstacle
  103. On the inverse scattering problem for the acoustic equation
  104. Reconstruction Formula for Identifying Cracks