Prof. Masaru Ikehata
Hiroshima University
Professor, Mathematics
Japan
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My Publications
The enclosure method for inverse obstacle scattering over a finite time interval: VI. U...
Journal of Inverse and Ill-Posed Problems
June 2020
The enclosure method for the heat equation using time-reversal invariance for a wave eq...
Journal of Inverse and Ill-Posed Problems
February 2020
Prescribing a heat flux coming from a wave equation
Journal of Inverse and Ill-Posed Problems
October 2019
The enclosure method for inverse obstacle scattering over a finite time interval: V. Us...
Journal of Inverse and Ill-Posed Problems
February 2019
Detecting a hidden obstacle via the time domain enclosure method. A scalar wave case
Mathematical Methods in the Applied Sciences
January 2019
On finding the surface admittance of an obstacle via the time domain enclosure method
Inverse Problems & Imaging
January 2019
On finding a buried obstacle in a layered medium via the time domain enclosure method i...
Inverse Problems & Imaging
January 2019
Revealing cracks inside conductive bodies by electric surface measurements
Inverse Problems
December 2018
On finding a cavity in a thermoelastic body using a single displacement measurement ove...
Journal of Inverse and Ill-Posed Problems
June 2018
On finding a buried obstacle in a layered medium via the time domain enclosure method
Inverse Problems & Imaging
January 2018
The enclosure method for inverse obstacle scattering over a finite time interval: IV. E...
Journal of Inverse and Ill-Posed Problems
December 2017
Trusted frequency region of convergence for the enclosure method in thermal imaging
Journal of Inverse and Ill-Posed Problems
January 2017
On finding an obstacle with the Leontovich boundary condition via the time domain encl...
Inverse Problems and Imaging
January 2017
Finding the dissipative boundary condition via the enclosure method
Mathematical Methods in the Applied Sciences
June 2016
The enclosure method for inverse obstacle scattering using a single electromagnetic wav...
Inverse Problems and Imaging
February 2016
The enclosure method for an inverse problem arising from a spot welding
Mathematical Methods in the Applied Sciences
December 2015
On finding an obstacle embedded in the rough background medium via the enclosure method...
Inverse Problems
July 2015
An inverse problem for a three-dimensional heat equation in thermal imaging and the enc...
Inverse Problems and Imaging
November 2014
Extracting the geometry of an obstacle and a zeroth-order coefficient of a boundary con...
Inverse Problems
March 2014
Estimates of the integral kernels arising from inverse problems for a three-dimensional...
Kyoto Journal of Mathematics
January 2014
The enclosure method for inverse obstacle scattering problems with dynamical data over ...
Inverse Problems
July 2013
On reconstruction of a cavity in a linearized viscoelastic body from infinitely many tr...
Inverse Problems
November 2012
An inverse acoustic scattering problem inside a cavity with dynamical back-scattering data
Inverse Problems
August 2012
The enclosure method for inverse obstacle scattering problems with dynamical data over ...
Inverse Problems
March 2012
On uniqueness in the inverse obstacle problem via the positive supersolutions of the He...
Inverse Problems
February 2012
Inverse obstacle scattering with limited-aperture data
Inverse Problems and Imaging
February 2012
Inverse obstacle scattering problems with a single incident wave and the logarithmic di...
Inverse Problems
July 2011
The framework of the enclosure method with dynamical data and its applications
Inverse Problems
May 2011
On reconstruction of an unknown polygonal cavity in a linearized elasticity with one me...
Journal of Physics Conference Series
April 2011
A note on the enclosure method for an inverse obstacle scattering problem with a single...
Inverse Problems
August 2010
On the reconstruction of inclusions in a heat conductive body from dynamical boundary d...
Inverse Problems
July 2010
The enclosure method for inverse obstacle scattering problems with dynamical data over ...
Inverse Problems
April 2010
Mittag–Leffler's function, Vekua transform and an inverse obstacle scattering problem
Inverse Problems
March 2010
Extracting the support function of a cavity in an isotropic elastic body from a single ...
Inverse Problems
September 2009
The enclosure method for the heat equation
Inverse Problems
June 2009
Two analytical formulae of the temperature inside a body by using partial lateral and i...
Inverse Problems
January 2009
Enclosure method and reconstruction of a linear crack in an elastic body
Journal of Physics Conference Series
November 2008
An inverse problem for a linear crack in an anisotropic elastic body and the enclosure ...
Inverse Problems
February 2008
The enclosure method for an inverse crack problem and the Mittag–Leffler function
Inverse Problems
December 2007
On inverse crack problems in elastostatics
PAMM
December 2007
Probe method and a Carleman function
Inverse Problems
August 2007
Extracting discontinuity in a heat conductive body. One-space dimensional case
Applicable Analysis
August 2007
Virtual signal in the heat equation and the enclosure method
Journal of Physics Conference Series
June 2007
Reconstruction of a linear crack in an isotropic elastic body from a single set of meas...
Inverse Problems
February 2007
An inverse source problem for the heat equation and the enclosure method
Inverse Problems
December 2006
Two sides of probe method and obstacle with impedance boundary condition
Hokkaido Mathematical Journal
August 2006
Stroh eigenvalues and identification of discontinuity in an anisotropic elastic material
January 2006
An inverse source problem for the Lamé system with variable coefficients
Applicable Analysis
April 2005
A new formulation of the probe method and related problems
Inverse Problems
January 2005
An Inverse Transmission Scattering Problem and the Enclosure Method
Computing
January 2005
Electrical impedance tomography and Mittag-Leffler's function
Inverse Problems
July 2004
Inverse boundary value problem for ocean acoustics using point sources
Mathematical Methods in the Applied Sciences
July 2004
Inverse scattering problems and the enclosure method
Inverse Problems
February 2004
Reconstruction of inclusions for the inverse boundary value problem with mixed type bou...
Applicable Analysis
February 2004
Mittag-Leffler’s function and extracting from Cauchy data
January 2004
Numerical Solution of the Cauchy Problem for the Stationary Schrödinger Equation Using ...
SIAM Journal on Applied Mathematics
January 2004
Pointwise reconstruction of the jump at the boundaries of inclusions
January 2004
Complex geometrical optics solutions and inverse crack problems
Inverse Problems
November 2003
Extracting the Convex Hull of an Unknown Inclusion in the Multilayered Material
Applicable Analysis
September 2003
Exponentially growing solutions, multilayered anisotropic material and the enclosure me...
Inverse Problems
August 2003
Reconstruction Formula for Identifying Cracks
Journal of Elasticity
January 2003
Extraction formulae for an inverse boundary value problem for the equation $\nabla$ $mi...
Inverse Problems
July 2002
A regularized extraction formula in the enclosure method
Inverse Problems
March 2002
A numerical method for finding the convex hull of polygonal cavities using the enclosur...
Inverse Problems
January 2002
Reconstruction of inclusion from boundary measurements
Journal of Inverse and Ill-Posed Problems
January 2002
Exponentially growing solutions and the cauchy problem
Applicable Analysis
June 2001
Inverse conductivity problem in the infinite slab
Inverse Problems
April 2001
Inverse boundary value problem for ocean acoustics
Mathematical Methods in the Applied Sciences
January 2001
The Enclosure Method and its Applications
January 2001
Inverse Boundary-Value Problem for Ocean Acoustics Using Point Sources
January 2001
On reconstruction from a partial knowledge of the Neumann-to-Dirichlet operator
Inverse Problems
December 2000
Numerical method for finding the convex hull of an inclusion in conductivity from bound...
Inverse Problems
August 2000
Direct and inverse inequalities for the isotropic Lamé system with variable coefficients
Comptes Rendus de l Académie des Sciences - Series IIB - Mechanics
July 2000
On reconstruction in the inverse conductivity problem with one measurement
Inverse Problems
June 2000
Reconstruction of the support function for inclusion from boundary measurements
Journal of Inverse and Ill-Posed Problems
January 2000
Identification of the curve of discontinuity of the determinant of the anisotropic cond...
Journal of Inverse and Ill-Posed Problems
January 2000
Inverse boundary value problem for ocean acoustics
Mathematical Methods in the Applied Sciences
January 2000
Enclosing a polygonal cavity in a two-dimensional bounded domain from Cauchy data
Inverse Problems
October 1999
Slicing of a three-dimensional object from boundary measurements
Inverse Problems
October 1999
Reconstruction of obstacle from boundary measurements
Wave Motion
October 1999
Identification of the shape of the inclusion in the anisotropic elastic body
Applicable Analysis
February 1999
Reconstruction of a source domain from the Cauchy data
Inverse Problems
January 1999
How to draw a picture of an unknown inclusion from boundary measurements. Two mathemati...
Journal of Inverse and Ill-Posed Problems
January 1999
Identification of the shape of the inclusion having essentially bounded conductivity
Journal of Inverse and Ill-Posed Problems
January 1999
Reconstruction of an obstacle from the scattering amplitude at a fixed frequency
Inverse Problems
August 1998
Reconstruction of the shape of the inclusion by boundary measurements
Communications in Partial Differential Equations
January 1998
Unique continuation for a stationary isotropic lamé system with variable coefficients
Communications in Partial Differential Equations
January 1998
Size estimation of inclusion
Journal of Inverse and Ill-Posed Problems
January 1998
The Linearization of the Dirichlet-to-Neumann Map in the Anisotropic Kirchhoff–Love Pla...
SIAM Journal on Applied Mathematics
October 1996
A relationship between two Dirichlet to Neumann maps in anisotrpoic elastic plate theory
Journal of Inverse and Ill-Posed Problems
January 1996
The linearization of the Dirichlet to Neumann map in anisotropic plate theory
Inverse Problems
February 1995
A Weighted L2-Estimate for the Green-Faddeev Function for the Laplace Operator in R2
Journal of Mathematical Analysis and Applications
November 1994
An Inverse Problem for the Plate in the Love–Kirchhoff Theory
SIAM Journal on Applied Mathematics
August 1993
A special green's function for the biharmonic operator and its application to an invers...
Computers & Mathematics with Applications
January 1991
Inversion Formulas for the Linearized Problem for an Inverse Boundary Value Problem in ...
SIAM Journal on Applied Mathematics
December 1990
Decaying and nondecaying properties of the local energy of an elastic wave outside an o...
Japan Journal of Applied Mathematics
February 1989
On the inverse scattering problem for the acoustic equation
Journal of the Mathematical Society of Japan
April 1987
Reconstruction Formula for Identifying Cracks