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## Colton, David Lem

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 Author ID: colton.david-l Published as: Colton, D.; Colton, D. L.; Colton, David; Colton, David L. Homepage: http://www.math.udel.edu/~colton/ External Links: MGP
 Documents Indexed: 252 Publications since 1968, including 23 Books Biographic References: 1 Publication
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#### Co-Authors

 87 single-authored 47 Monk, Peter B. 33 Cakoni, Fioralba 26 Kress, Rainer 13 Gilbert, Robert Pertsch 13 Kirsch, Andreas 9 Haddar, Houssem 7 Leung, Yuk J. 7 Päivärinta, Lassi 7 Wimp, Jet 6 Meng, Shixu 4 Cogar, Samuel 4 Piana, Michele 4 Rundell, William 3 Angell, Thomas S. 3 Sleeman, Brian D. 2 Engl, Heinz W. 2 Giebermann, Klaus 2 Guo, Yirong 2 Kleinman, Ralph Ellis 2 Louis, Alfred Karl 2 McLaughlin, Joyce Rogers 2 Potthast, Roland W. E. 2 Qin, Haihua 2 Reemtsen, Rembert M. 2 Santosa, Fadil N. 2 Sun, Jiguang 2 Watzlawek, Wolfgang 1 Çayören, Mehmet 1 Chadan, Khosrow 1 Chang, Yafei 1 Coyle, Joe 1 Darrigrand, Eric 1 Erbe, Claudia 1 Ewing, Richard Edward 1 Galardi, Andrew 1 Gintides, Drossos 1 Hähner, Peter 1 Kleefeld, Andreas 1 Kline, Bob 1 Rezac, Jacob D. 1 Stakgold, Ivar 1 Sylvester, John Herbert 1 Wendland, Wolfgang L.
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#### Serials

 31 Inverse Problems 16 SIAM Journal on Mathematical Analysis 12 SIAM Journal on Applied Mathematics 11 Applicable Analysis 11 Journal of Differential Equations 8 Mathematical Methods in the Applied Sciences 8 Quarterly Journal of Mechanics and Applied Mathematics 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Journal of Computational and Applied Mathematics 6 Proceedings of the American Mathematical Society 6 Proceedings of the Edinburgh Mathematical Society. Series II 5 Applied Mathematical Sciences 4 Journal of Mathematical Analysis and Applications 3 Archive for Rational Mechanics and Analysis 3 IMA Journal of Applied Mathematics 3 Duke Mathematical Journal 3 The Quarterly Journal of Mathematics. Oxford Second Series 3 SIAM Review 3 Inverse Problems and Imaging 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Journal of Approximation Theory 2 Mathematika 2 Journal of Integral Equations and Applications 2 SIAM Journal on Scientific Computing 2 Bulletin of the American Mathematical Society 2 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Computers & Mathematics with Applications 1 American Journal of Mathematics 1 Bulletin of the London Mathematical Society 1 Glasgow Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Mathematics and Computers in Simulation 1 Quarterly of Applied Mathematics 1 SIAM Journal on Scientific and Statistical Computing 1 Complex Variables. Theory and Application 1 Applied Numerical Mathematics 1 European Journal of Applied Mathematics 1 International Journal of Computer Mathematics 1 Computational and Applied Mathematics 1 Georgian Mathematical Journal 1 Journal of Inverse and Ill-Posed Problems 1 Advances in Computational Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 The ANZIAM Journal 1 IEEE Transactions on Antennas and Propagation 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Proceedings of the Cambridge Philosophical Society 1 Journal of Mathematics and Mechanics 1 Classics in Applied Mathematics 1 Lecture Notes in Mathematics 1 SIAM Monographs on Mathematical Modeling and Computation 1 Interaction of Mechanics and Mathematics
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#### Fields

 215 Partial differential equations (35-XX) 90 Optics, electromagnetic theory (78-XX) 36 Fluid mechanics (76-XX) 35 Numerical analysis (65-XX) 16 Integral equations (45-XX) 13 Mechanics of deformable solids (74-XX) 9 Operator theory (47-XX) 6 Potential theory (31-XX) 6 Biology and other natural sciences (92-XX) 5 Ordinary differential equations (34-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

196 Publications have been cited 4,227 times in 2,264 Documents Cited by Year
Inverse acoustic and electromagnetic scattering theory. 2nd ed. Zbl 0893.35138
Colton, David; Kress, Rainer
1998
Integral equation methods in scattering theory. Zbl 0522.35001
Colton, David; Kress, Rainer
1983
Inverse acoustic and electromagnetic scattering theory. Zbl 0760.35053
Colton, David; Kress, Rainer
1992
Inverse acoustic and electromagnetic scattering theory. 3rd ed. Zbl 1266.35121
Colton, David; Kress, Rainer
2013
A simple method for solving inverse scattering problems in the resonance region. Zbl 0859.35133
Colton, David; Kirsch, Andreas
1996
Qualitative methods in inverse scattering theory. An introduction. Zbl 1099.78008
Cakoni, Fioralba; Colton, David
2006
Recent developments in inverse acoustic scattering theory. Zbl 0960.76081
Colton, David; Coyle, Joe; Monk, Peter
2000
The interior transmission problem. Zbl 1130.35132
Colton, David; Päivärinta, Lassi; Sylvester, John
2007
A simple method using Morozov’s discrepancy principle for solving inverse scattering problems. Zbl 0902.35123
Colton, David; Piana, Michele; Potthast, Roland
1997
Pseudoparabolic equations in one space variable. Zbl 0231.35038
Colton, David L.
1972
A qualitative approach to inverse scattering theory. Zbl 1302.35001
Cakoni, Fioralba; Colton, David
2014
The inverse scattering problem for time-harmonic acoustic waves in an inhomogeneous medium. Zbl 0637.73026
Colton, David; Monk, Peter
1988
The linear sampling method in inverse electromagnetic scattering. Zbl 1221.78001
Cakoni, Fioralba; Colton, David; Monk, Peter
2011
An introduction to inverse scattering and inverse spectral problems. Zbl 0870.35121
Chadan, Khosrow; Colton, David; Päivärinta, Lassi; Rundell, William
1997
Integral equation methods in scattering theory. Reprint of the 1983 original published by Wiley. Zbl 1291.35003
Colton, David; Kress, Rainer
2013
Analytical and computational methods for transmission eigenvalues. Zbl 1192.78024
Colton, David; Monk, Peter; Sun, Jiguang
2010
On the determination of Dirichlet or transmission eigenvalues from far field data. Zbl 1189.35204
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2010
The linear sampling method for cracks. Zbl 1171.35487
Cakoni, Fioralba; Colton, David
2003
Inverse scattering theory and transmission eigenvalues. Zbl 1366.35001
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2016
The inverse electromagnetic scattering problem for anisotropic media. Zbl 1197.35314
Cakoni, Fioralba; Colton, David; Monk, Peter; Sun, Jiguang
2010
On the use of transmission eigenvalues to estimate the index of refraction from far field data. Zbl 1115.78008
Cakoni, Fioralba; Colton, David; Monk, Peter
2007
The linear sampling method in inverse electromagnetic scattering theory. Zbl 1049.78010
Colton, David; Haddar, Houssem; Piana, Michele
2003
Far-field patterns for acoustic waves in an inhomogeneous medium. Zbl 0681.76084
Colton, David; Kirsch, Andreas; Päivärinta, Lassi
1989
Uniqueness theorems for the inverse problem of acoustic scattering. Zbl 0539.76086
Colton, David; Sleeman, B. D.
1983
The direct and inverse scattering problems for partially coated obstacles. Zbl 1001.35122
Cakoni, Fioralba; Colton, David; Monk, Peter
2001
A novel method for solving the inverse scattering problem for time- harmonic acoustic waves in the resonance region. II. Zbl 0641.76073
Colton, David; Monk, Peter
1986
A novel method for solving the inverse scattering problem for time- harmonic acoustic waves in the resonance region. Zbl 0588.76140
Colton, David; Monk, Peter
1985
The uniqueness of a solution to an inverse scattering problem for electromagnetic waves. Zbl 0756.35114
Colton, David; Päivärinta, Lassi
1992
An application of the reciprocity gap functional to inverse scattering theory. Zbl 1086.35129
2005
Transmission eigenvalues and the nondestructive testing of dielectrics. Zbl 1157.35497
Cakoni, Fioralba; Çayören, Mehmet; Colton, David
2008
The linear sampling method for solving the electromagnetic inverse scattering problem. Zbl 1037.78008
Colton, David; Haddar, Houssem; Monk, Peter
2002
The interior transmission eigenvalue problem. Zbl 1219.35352
Cakoni, Fioralba; Colton, David; Gintides, Drossos
2010
The electromagnetic inverse-scattering problem for partly coated Lipschitz domains. Zbl 1071.78021
Cakoni, Fioralba; Colton, David; Monk, Peter
2004
The inverse scattering problem for cavities. Zbl 1241.78027
Qin, Hai-Hua; Colton, David
2012
Open problems in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1088.78003
Cakoni, F.; Colton, D.
2005
Inverse acoustic and electromagnetic scattering theory. 4th expanded edition. Zbl 1425.35001
Colton, David; Kress, Rainer
2019
The determination of the surface impedance of a partially coated obstacle from far field data. Zbl 1059.35163
Cakoni, Fioralba; Colton, David
2004
Analytic theory of partial differential equations. Zbl 0468.35001
Colton, David L.
1980
Complex eigenvalues and the inverse spectral problem for transmission eigenvalues. Zbl 1305.34027
Colton, David; Leung, Yuk-J
2013
The inverse scattering problem for cavities with impedance boundary condition. Zbl 1238.35189
Qin, Hai-Hua; Colton, David
2012
Using fundamental solutions in inverse scattering. Zbl 1099.35168
Colton, David; Kress, Rainer
2006
The numerical solution of the three-dimensional inverse scattering problem for time harmonic acoustic waves. Zbl 0623.65130
Colton, David; Monk, Peter
1987
The interior transmission problem for regions with cavities. Zbl 1209.35135
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2010
Solution of boundary value problems by the method of integral operators. Zbl 0332.35001
Colton, D. L.
1976
Stekloff eigenvalues in inverse scattering. Zbl 1346.35228
Cakoni, F.; Colton, D.; Meng, S.; Monk, P.
2016
Inverse acoustic and electromagnetic scattering theory. Zbl 1081.78013
Colton, David
2003
A uniqueness theorem for an inverse electromagnetic scattering problem in inhomogeneous anisotropic media. Zbl 1051.78013
Cakoni, Fioralba; Colton, David
2003
The linear sampling method for anisotropic media. Zbl 1019.78003
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2002
Integral equation methods in scattering theory. (Metody integral’nykh uravnenij v teorii rasseyaniya). Transl. from the English. Zbl 0621.35002
Colton, David; Kress, Rainer
1987
The inverse scattering problem for time-harmonic acoustic waves. Zbl 0553.35087
Colton, David
1984
The determination of the surface conductivity of a partially coated dielectric. Zbl 1083.78007
Cakoni, Fioralba; Colton, David; Monk, Peter
2005
Distribution of complex transmission eigenvalues for spherically stratified media. Zbl 1332.34135
Colton, David; Leung, Yuk-J; Meng, Shixu
2015
The inverse scattering problem for a penetrable cavity with internal measurements. Zbl 1330.35524
Cakoni, Fioralba; Colton, David; Meng, Shixu
2014
Complex transmission eigenvalues for spherically stratified media. Zbl 1260.47012
Leung, Yuk-J; Colton, David
2012
A regularized sampling method for solving three-dimensional inverse scattering problems. Zbl 0961.35172
Colton, David; Giebermann, Klaus; Monk, Peter
2000
On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces. Zbl 0998.35034
Colton, David; Kress, Rainer
2001
The numerical solution of the inverse Stefan problem in two space variables. Zbl 0576.65125
Colton, David; Reemtsen, Rembert
1984
Asymptotic behaviour of the fundamental solution to the equation of heat conduction in two temperatures. Zbl 0409.35050
Colton, David; Wimp, Jet
1979
Integral operators and the first initial boundary value problem for pseudoparabolic equations with analytic coefficients. Zbl 0255.35050
Colton, David
1973
The inverse scattering problem for time-harmonic acoustic waves in a penetrable medium. Zbl 0619.35110
Colton, David; Monk, Peter
1987
Dense sets and far field patterns in acoustic wave propagation. Zbl 0572.76074
Colton, David; Kirsch, Andreas
1984
The direct and inverse scattering problems for an arbitrary cylinder: Dirichlet boundary conditions. Zbl 0439.35020
Colton, David; Kleinman, Ralph
1980
Partial differential equations: An introduction. Zbl 0677.35001
Colton, David L.
1988
Cauchy’s problem for a singular parabolic partial differential equation. Zbl 0199.16501
Colton, David
1970
Toward a time domain approach to the linear sampling method. Zbl 1291.65293
Guo, Y.; Monk, P.; Colton, D.
2013
The interior transmission eigenvalue problem for absorbing media. Zbl 1298.78019
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2012
The three dimensional inverse scattering problem for acoustic waves. Zbl 0496.65069
Angell, T. S.; Colton, David; Kirsch, Andreas
1982
The determination of the surface impedance of an obstacle from measurements of the far field pattern. Zbl 0464.35077
Colton, David; Kirsch, Andreas
1981
The solution of initial-boundary value problems for parabolic equations by the method of integral operators. Zbl 0407.35043
Colton, David
1977
On the mathematical basis of the linear sampling method. Zbl 1054.35123
Cakoni, Fioralba; Colton, David
2003
Inverse scattering from an orthotropic medium. Zbl 0885.35143
Colton, David; Kress, Rainer; Monk, Peter
1997
Analytic continuation of solutions to partial differential equations with applications to problems in scattering theory. Zbl 0536.35008
Colton, D. L.
1983
On the analytic theory of pseudoparabolic equations. Zbl 0232.35006
Colton, David
1972
Eigenvalues of the far field operator for the Helmholtz equation in an absorbing medium. Zbl 0839.35094
Colton, David; Kress, Rainer
1995
Looking back on inverse scattering theory. Zbl 1402.35090
Colton, David; Kress, Rainer
2018
Modified transmission eigenvalues in inverse scattering theory. Zbl 1394.35305
Cogar, S.; Colton, D.; Meng, S.; Monk, P.
2017
The linear sampling method for sparse small aperture data. Zbl 1351.65070
Guo, Y.; Monk, P.; Colton, D.
2016
The computation of lower bounds for the norm of the index of refraction in an anisotropic media from far field data. Zbl 1173.35722
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2009
Combined far-field operators in electromagnetic inverse scattering theory. Zbl 1069.35091
Cakoni, Fioralba; Colton, David
2003
The simple method for solving the electromagnetic inverse scattering problem: the case of TE polarized waves. Zbl 0917.35158
Colton, David; Piana, Michele
1998
A linear sampling method for the detection of leukemia using microwaves. Zbl 0907.92014
Colton, David; Monk, Peter
1998
The inverse scattering problem for a cylinder. Zbl 0415.35081
Colton, David
1979
Constructive methods for solving the exterior Neumann problem for the reduced wave equation in a spherically symmetric medium. Zbl 0341.35034
Colton, David; Wendland, Wolfgang
1976
Integral operators and reflection principles for parabolic equations in one space variable. Zbl 0277.35060
Colton, David
1974
Inverse problems in partial differential equations. Proceedings of a conference which was part of the summer research conferences in the mathematical sciences, Humboldt State University, Arcata, California (USA), July 29-August 4, 1989. Zbl 0695.00017
Colton, David (ed.); Ewing, Richard (ed.); Rundell, William (ed.)
1990
Runge’s theorem and far field patterns for the impedance boundary value problem in acoustic wave propagation. Zbl 0534.76083
Colton, David
1982
Iterative methods for solving the exterior Dirichlet problem for the Helmholtz equation with applications to the inverse scattering problem for low frequency acoustic waves. Zbl 0444.35023
Colton, David; Kress, Rainer
1980
A contribution to the analytic theory of partial differential equations. Zbl 0165.12102
Colton, D.
1969
Singularities of solutions to elliptic partial differential equations with analytic coefficients. Zbl 0165.44402
Colton, D.; Gilbert, R. P.
1968
An approximation property of importance in inverse scattering theory. Zbl 0992.35115
Colton, David; Sleeman, Brian D.
2001
The inverse electromagnetic scattering problem for an anisotropic medium. Zbl 0967.78006
Colton, David; Potthast, Roland
1999
Far field patterns of the impedance boundary value problem in acoustic scattering. Zbl 0533.76083
Colton, David
1983
Stable methods for solving the inverse scattering problem for a cylinder. Zbl 0474.35084
Colton, David; Kirsch, Andreas
1981
Partial differential equations in the complex domain. Zbl 0323.35003
Colton, D. L.
1976
The approximation of solutions to initial boundary value problems for parabolic equations in one space variable. Zbl 0317.35048
Colton, David
1976
Bergman operators for elliptic equations in three independent variables. Zbl 0218.35019
Colton, D.
1971
The determination of boundary coefficients from far field measurements. Zbl 1204.78013
Cakoni, Fioralba; Colton, David; Monk, Peter
2010
Eigenvalues of the far field operator and inverse scattering theory. Zbl 0826.35134
Colton, David; Kress, Rainer
1995
On a class of integral equations of the first kind in inverse scattering theory. Zbl 0789.35170
Colton, David; Monk, Peter
1993
The impedance boundary value problem for the time harmonic Maxwell equations. Zbl 0475.35029
Colton, David; Kress, Rainer
1981
Inverse acoustic and electromagnetic scattering theory. 4th expanded edition. Zbl 1425.35001
Colton, David; Kress, Rainer
2019
Eigenvalue problems in inverse electromagnetic scattering theory. Zbl 1445.78004
Cogar, Samuel; Colton, David; Monk, Peter
2019
Looking back on inverse scattering theory. Zbl 1402.35090
Colton, David; Kress, Rainer
2018
Using eigenvalues to detect anomalies in the exterior of a cavity. Zbl 1400.78015
Cogar, S.; Colton, D.; Monk, P.
2018
Modified transmission eigenvalues in inverse scattering theory. Zbl 1394.35305
Cogar, S.; Colton, D.; Meng, S.; Monk, P.
2017
The existence of complex transmission eigenvalues for spherically stratified media. Zbl 1360.35123
Colton, David; Leung, Yuk-J.
2017
The inverse spectral problem for transmission eigenvalues. Zbl 1372.35361
Cogar, Samuel; Colton, David; Leung, Yuk-J
2017
Peter Monk and inverse scattering theory. Zbl 1397.35002
Colton, David
2017
Inverse scattering theory and transmission eigenvalues. Zbl 1366.35001
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2016
Stekloff eigenvalues in inverse scattering. Zbl 1346.35228
Cakoni, F.; Colton, D.; Meng, S.; Monk, P.
2016
The linear sampling method for sparse small aperture data. Zbl 1351.65070
Guo, Y.; Monk, P.; Colton, D.
2016
The Born transmission eigenvalue problem. Zbl 1366.78018
Cakoni, Fioralba; Colton, David; Rezac, Jacob D.
2016
On a transmission eigenvalue problem for a spherically stratified coated dielectric. Zbl 1352.31003
Colton, David; Leung, Yuk-J.
2016
Distribution of complex transmission eigenvalues for spherically stratified media. Zbl 1332.34135
Colton, David; Leung, Yuk-J; Meng, Shixu
2015
A qualitative approach to inverse scattering theory. Zbl 1302.35001
Cakoni, Fioralba; Colton, David
2014
The inverse scattering problem for a penetrable cavity with internal measurements. Zbl 1330.35524
Cakoni, Fioralba; Colton, David; Meng, Shixu
2014
Spectral properties of the exterior transmission eigenvalue problem. Zbl 1318.65075
Colton, David; Meng, Shixu
2014
The inverse spectral problem for exterior transmission eigenvalues. Zbl 1301.35076
Colton, David; Leung, Y. J.; Meng, Shixu
2014
Inverse acoustic and electromagnetic scattering theory. 3rd ed. Zbl 1266.35121
Colton, David; Kress, Rainer
2013
Integral equation methods in scattering theory. Reprint of the 1983 original published by Wiley. Zbl 1291.35003
Colton, David; Kress, Rainer
2013
Complex eigenvalues and the inverse spectral problem for transmission eigenvalues. Zbl 1305.34027
Colton, David; Leung, Yuk-J
2013
Toward a time domain approach to the linear sampling method. Zbl 1291.65293
Guo, Y.; Monk, P.; Colton, D.
2013
The inverse scattering problem for cavities. Zbl 1241.78027
Qin, Hai-Hua; Colton, David
2012
The inverse scattering problem for cavities with impedance boundary condition. Zbl 1238.35189
Qin, Hai-Hua; Colton, David
2012
Complex transmission eigenvalues for spherically stratified media. Zbl 1260.47012
Leung, Yuk-J; Colton, David
2012
The interior transmission eigenvalue problem for absorbing media. Zbl 1298.78019
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2012
The linear sampling method in inverse electromagnetic scattering. Zbl 1221.78001
Cakoni, Fioralba; Colton, David; Monk, Peter
2011
Inverse scattering. Zbl 1259.35003
Colton, David; Kress, Rainer
2011
Analytical and computational methods for transmission eigenvalues. Zbl 1192.78024
Colton, David; Monk, Peter; Sun, Jiguang
2010
On the determination of Dirichlet or transmission eigenvalues from far field data. Zbl 1189.35204
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2010
The inverse electromagnetic scattering problem for anisotropic media. Zbl 1197.35314
Cakoni, Fioralba; Colton, David; Monk, Peter; Sun, Jiguang
2010
The interior transmission eigenvalue problem. Zbl 1219.35352
Cakoni, Fioralba; Colton, David; Gintides, Drossos
2010
The interior transmission problem for regions with cavities. Zbl 1209.35135
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2010
The determination of boundary coefficients from far field measurements. Zbl 1204.78013
Cakoni, Fioralba; Colton, David; Monk, Peter
2010
The computation of lower bounds for the norm of the index of refraction in an anisotropic media from far field data. Zbl 1173.35722
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2009
Thirty years and still counting. Zbl 1190.35005
Colton, David; Kress, Rainer
2009
Transmission eigenvalues and the nondestructive testing of dielectrics. Zbl 1157.35497
Cakoni, Fioralba; Çayören, Mehmet; Colton, David
2008
The interior transmission problem. Zbl 1130.35132
Colton, David; Päivärinta, Lassi; Sylvester, John
2007
On the use of transmission eigenvalues to estimate the index of refraction from far field data. Zbl 1115.78008
Cakoni, Fioralba; Colton, David; Monk, Peter
2007
Inequalities in inverse scattering theory. Zbl 1387.35614
Cakoni, F.; Colton, D.
2007
The inverse electromagnetic scattering problem for a partially coated dielectric. Zbl 1222.78024
Cakoni, Fioralba; Colton, David; Monk, Peter
2007
Qualitative methods in inverse scattering theory. An introduction. Zbl 1099.78008
Cakoni, Fioralba; Colton, David
2006
Using fundamental solutions in inverse scattering. Zbl 1099.35168
Colton, David; Kress, Rainer
2006
Target identification of buried coated objects. Zbl 1182.35229
Cakoni, Fioralba; Colton, David
2006
An application of the reciprocity gap functional to inverse scattering theory. Zbl 1086.35129
2005
Open problems in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1088.78003
Cakoni, F.; Colton, D.
2005
The determination of the surface conductivity of a partially coated dielectric. Zbl 1083.78007
Cakoni, Fioralba; Colton, David; Monk, Peter
2005
The electromagnetic inverse-scattering problem for partly coated Lipschitz domains. Zbl 1071.78021
Cakoni, Fioralba; Colton, David; Monk, Peter
2004
The determination of the surface impedance of a partially coated obstacle from far field data. Zbl 1059.35163
Cakoni, Fioralba; Colton, David
2004
Partial differential equations. An introduction. Corrected reprint of the 1988 original. Zbl 1099.35001
Colton, David
2004
The linear sampling method for cracks. Zbl 1171.35487
Cakoni, Fioralba; Colton, David
2003
The linear sampling method in inverse electromagnetic scattering theory. Zbl 1049.78010
Colton, David; Haddar, Houssem; Piana, Michele
2003
Inverse acoustic and electromagnetic scattering theory. Zbl 1081.78013
Colton, David
2003
A uniqueness theorem for an inverse electromagnetic scattering problem in inhomogeneous anisotropic media. Zbl 1051.78013
Cakoni, Fioralba; Colton, David
2003
On the mathematical basis of the linear sampling method. Zbl 1054.35123
Cakoni, Fioralba; Colton, David
2003
Combined far-field operators in electromagnetic inverse scattering theory. Zbl 1069.35091
Cakoni, Fioralba; Colton, David
2003
The inverse electromagnetic scattering problem for screens. Zbl 1142.78310
Cakoni, Fioralba; Colton, David; Darrigrand, Eric
2003
Herglotz wave functions in inverse electromagnetic scattering theory. Zbl 1042.78007
Colton, David; Monk, Peter
2003
The linear sampling method for solving the electromagnetic inverse scattering problem. Zbl 1037.78008
Colton, David; Haddar, Houssem; Monk, Peter
2002
The linear sampling method for anisotropic media. Zbl 1019.78003
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2002
The direct and inverse scattering problems for partially coated obstacles. Zbl 1001.35122
Cakoni, Fioralba; Colton, David; Monk, Peter
2001
On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces. Zbl 0998.35034
Colton, David; Kress, Rainer
2001
An approximation property of importance in inverse scattering theory. Zbl 0992.35115
Colton, David; Sleeman, Brian D.
2001
Inequalities for inverse scattering problems in absorbing media. Zbl 0991.35106
Colton, David; Piana, Michele
2001
Recent developments in inverse acoustic scattering theory. Zbl 0960.76081
Colton, David; Coyle, Joe; Monk, Peter
2000
A regularized sampling method for solving three-dimensional inverse scattering problems. Zbl 0961.35172
Colton, David; Giebermann, Klaus; Monk, Peter
2000
Surveys on solution methods for inverse problems. Zbl 0948.00011
Colton, David (ed.); Engl, Heinz W. (ed.); Louis, Alfred K. (ed.); McLaughlin, Joyce R. (ed.); Rundell, William (ed.)
2000
Introduction to: Surveys on solution methods for inverse problems. Zbl 0963.01010
Colton, D.; Engl, H. W.; Louis, A. K.; McLaughlin, J. R.; Rundell, W.
2000
Transmission eigenvalues and a problem of Hans Lewy. Zbl 0957.65093
Colton, David; Päivärinta, Lassi
2000
The linear sampling method in inverse scattering theory. Zbl 0968.35132
Colton, David; Kirsch, Andreas; Monk, Peter
2000
The inverse electromagnetic scattering problem for an anisotropic medium. Zbl 0967.78006
Colton, David; Potthast, Roland
1999
A linear sampling method for the detection of leukemia using microwaves. II. Zbl 1069.92511
Colton, David; Monk, Peter
1999
Inverse acoustic and electromagnetic scattering theory. 2nd ed. Zbl 0893.35138
Colton, David; Kress, Rainer
1998
The simple method for solving the electromagnetic inverse scattering problem: the case of TE polarized waves. Zbl 0917.35158
Colton, David; Piana, Michele
1998
A linear sampling method for the detection of leukemia using microwaves. Zbl 0907.92014
Colton, David; Monk, Peter
1998
A simple method for solving electromagnetic inverse scattering problems. Zbl 1050.78506
Colton, David L.
1998
Recent progress on the inverse electromagnetic scattering problem for anisotropic media. Zbl 0963.78020
Colton, David L.
1998
A simple method using Morozov’s discrepancy principle for solving inverse scattering problems. Zbl 0902.35123
Colton, David; Piana, Michele; Potthast, Roland
1997
An introduction to inverse scattering and inverse spectral problems. Zbl 0870.35121
Chadan, Khosrow; Colton, David; Päivärinta, Lassi; Rundell, William
1997
Inverse scattering from an orthotropic medium. Zbl 0885.35143
Colton, David; Kress, Rainer; Monk, Peter
1997
A new algorithm in electromagnetic inverse scattering theory with an application to medical imaging. Zbl 0896.35100
Colton, David; Monk, Peter; Kress, Rainer
1997
A brief introduction to inverse scattering theory. Zbl 0898.35113
Colton, D.
1997
A simple method for solving inverse scattering problems in the resonance region. Zbl 0859.35133
Colton, David; Kirsch, Andreas
1996
Spectral theory of the magnetic far field operator in an orthotropic medium. Zbl 0886.35167
Colton, David; Erbe, Claudia
1996
Eigenvalues of the far field operator for the Helmholtz equation in an absorbing medium. Zbl 0839.35094
Colton, David; Kress, Rainer
1995
Eigenvalues of the far field operator and inverse scattering theory. Zbl 0826.35134
Colton, David; Kress, Rainer
1995
The detection and monitoring of leukemia using electromagnetic waves: Numerical analysis. Zbl 0821.35144
Colton, David; Monk, Peter
1995
The detection and monitoring of leukemia using electromagnetic waves: Mathematical theory. Zbl 0809.35153
Colton, David; Monk, Peter
1994
A modified dual space method for solving the electromagnetic inverse scattering problem for an infinite cylinder. Zbl 0804.35145
Colton, David; Monk, Peter
1994
Target signatures for imperfectly conducting obstacles at fixed frequency. Zbl 0808.35149
Colton, David; Kirsch, Andreas
1994
On a class of integral equations of the first kind in inverse scattering theory. Zbl 0789.35170
Colton, David; Monk, Peter
1993
Modified far field operators in inverse scattering theory. Zbl 0781.35070
Colton, David; Hähner, Peter
1993
Inverse acoustic and electromagnetic scattering theory. Zbl 0760.35053
Colton, David; Kress, Rainer
1992
The uniqueness of a solution to an inverse scattering problem for electromagnetic waves. Zbl 0756.35114
Colton, David; Päivärinta, Lassi
1992
A comparison of two methods for solving the inverse scattering problem for acoustic waves in an inhomogeneous medium. Zbl 0768.73017
Colton, David; Monk, Peter
1992
An approximation problem in inverse scattering theory. Zbl 0798.35155
Colton, David; Kirsch, Andreas
1991
The inverse scattering problem for time harmonic electromagnetic waves. Zbl 0737.65101
Colton, D.; Monk, P.
1991
Inverse problems in partial differential equations. Proceedings of a conference which was part of the summer research conferences in the mathematical sciences, Humboldt State University, Arcata, California (USA), July 29-August 4, 1989. Zbl 0695.00017
Colton, David (ed.); Ewing, Richard (ed.); Rundell, William (ed.)
1990
The inverse scattering problem for acoustic waves in an inhomogeneous medium. Zbl 0705.35152
Colton, David; Monk, Peter
1990
Time harmonic electromagnetic waves in an inhomogeneous medium. Zbl 0729.35097
Colton, David; Kress, Rainer
1990
...and 96 more Documents
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#### Cited by 2,302 Authors

 72 Colton, David Lem 41 Kress, Rainer 40 Liu, Hongyu 36 Cakoni, Fioralba 31 Haddar, Houssem 31 Yan, Guozheng 27 Ammari, Habib M. 25 Hu, Guanghui 24 Nicholls, David P. 23 Athanasiadis, Christodoulos E. 23 Liu, Jijun 23 Monk, Peter B. 23 Zhang, Bo 22 Sini, Mourad 21 Potthast, Roland W. E. 20 Greengard, Leslie F. 20 Liu, Xiaodong 20 Sun, Jiguang 19 Kirsch, Andreas 18 Bao, Gang 18 Chandler-Wilde, Simon N. 18 Gilbert, Robert Pertsch 18 Klibanov, Michael V. 18 Ma, Fuming 18 Rapún, María-Luisa 17 Guo, Yukun 17 Li, Jingzhi 17 Li, Peijun 15 Barnett, Alex H. 15 Bruno, Oscar P. 15 Eremin, Yuri A. 15 Ganesh, Mahadevan 15 Ji, Xia 15 Kleefeld, Andreas 14 Hiptmair, Ralf 14 Rundell, William 13 Bonnet, Marc 13 Djellouli, Rabia 13 Hawkins, Stuart Collin 13 Krutitskii, Pavel A. 13 Lesnic, Daniel 13 Nakamura, Gen 13 Nguyen, Dinh Liem 13 Nguyen, Hoai-Minh 13 Stratis, Ioannis G. 13 Yang, Chuanfu 13 Yang, Yidu 13 Zhang, Deyue 13 Zhang, Haiwen 12 Antoine, Xavier 12 Lassas, Matti 12 Le Louër, Frédérique 12 Lechleiter, Armin 12 Lee, Kuo-Ming 12 Sayas, Francisco-Javier 12 Wang, Haibing 12 Xu, Yongzhi S. 12 Zou, Jun 11 Boubendir, Yassine 11 Johansson, B. Tomas 11 Maponi, Pierluigi 11 Pelekanos, George 11 Setukha, Alexey V. 11 Sevroglou, Vassilios 10 Bi, Hai 10 Darbas, Marion 10 Dassios, George 10 Desmet, Wim 10 Griesmaier, Roland 10 Guo, Jun 10 Guzina, Bojan B. 10 Han, Jiayu 10 Mitrea, Marius 10 Nguyen, Loc Hoang 10 O’Neil, Michael 10 Päivärinta, Lassi 10 Park, Won-Kwang 10 Qu, Fenglong 10 Uhlmann, Gunther Alberto 9 Arens, Tilo 9 Barucq, Hélène 9 Buterin, Sergey Alexandrovich 9 Deng, Youjun 9 Moskow, Shari 9 Natroshvili, David 9 Turc, Catalin 9 Yang, Jiaqing 8 Pinheiro de Castro, Luís Filipe 8 Charalambopoulos, Antonios 8 Chen, Lung-Hui 8 Chesnel, Lucas 8 Collino, Francis 8 Darrigrand, Eric 8 Grote, Marcus J. 8 Hohage, Thorsten 8 Kapanadze, David 8 Kravchenko, Vladislav V. 8 Lai, Jun 8 Li, Peijun 8 McCoy, Peter A. ...and 2,202 more Authors
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#### Cited in 274 Serials

 149 Journal of Computational Physics 103 Mathematical Methods in the Applied Sciences 96 Inverse Problems 94 Journal of Mathematical Analysis and Applications 93 Journal of Computational and Applied Mathematics 86 Applicable Analysis 55 Inverse Problems and Imaging 53 Computers & Mathematics with Applications 48 Applied Numerical Mathematics 47 SIAM Journal on Applied Mathematics 46 Computer Methods in Applied Mechanics and Engineering 41 Wave Motion 41 Applied Mathematics and Computation 40 Journal of Differential Equations 38 Journal of Integral Equations and Applications 36 Engineering Analysis with Boundary Elements 34 Inverse Problems in Science and Engineering 32 Differential Equations 30 SIAM Journal on Imaging Sciences 28 Journal of Inverse and Ill-Posed Problems 27 Journal of Scientific Computing 27 SIAM Journal on Mathematical Analysis 25 Numerische Mathematik 24 SIAM Journal on Scientific Computing 20 Journal of Mathematical Physics 20 Advances in Computational Mathematics 18 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 17 Mathematics of Computation 17 Mathematics and Computers in Simulation 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 15 BIT 15 Integral Equations and Operator Theory 14 Communications on Pure and Applied Mathematics 14 Computational Mathematics and Mathematical Physics 14 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 13 Archive for Rational Mechanics and Analysis 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Applied Mathematics Letters 12 Communications in Partial Differential Equations 11 International Journal for Numerical Methods in Engineering 11 Quarterly of Applied Mathematics 10 Communications in Mathematical Physics 10 International Journal of Engineering Science 10 Journal of Engineering Mathematics 10 Numerical Functional Analysis and Optimization 10 Proceedings of the American Mathematical Society 10 SIAM Journal on Numerical Analysis 10 Journal of Computational Acoustics 10 Science China. Mathematics 9 Computing 9 Journal of Functional Analysis 9 Applied Mathematical Modelling 9 International Journal of Computer Mathematics 9 Mathematical Problems in Engineering 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Multiscale Modeling & Simulation 8 Ukrainian Mathematical Journal 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Proceedings of the Edinburgh Mathematical Society. Series II 8 Transactions of the American Mathematical Society 8 Acta Mathematicae Applicatae Sinica. English Series 8 Numerical Algorithms 8 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 7 Computer Physics Communications 7 Mathematische Nachrichten 7 Numerical Methods for Partial Differential Equations 7 Mathematical and Computer Modelling 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Complex Variables and Elliptic Equations 7 Advances in Mathematical Physics 6 Journal of Approximation Theory 6 Russian Mathematics 6 Journal of Mathematical Sciences (New York) 6 Abstract and Applied Analysis 6 Lobachevskii Journal of Mathematics 6 Nonlinear Analysis. Theory, Methods & Applications 6 Electronic Research Archive 5 Reports on Mathematical Physics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Automatica 5 Duke Mathematical Journal 5 Applied Mathematics and Mechanics. (English Edition) 5 Computational Mechanics 5 Japan Journal of Industrial and Applied Mathematics 5 Journal of Elasticity 5 Georgian Mathematical Journal 5 Advances in Applied Clifford Algebras 5 Mathematics and Mechanics of Solids 5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 Archives of Computational Methods in Engineering 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Acta Mechanica 4 Prikladnaya Matematika i Mekhanika 4 Results in Mathematics 4 SIAM Journal on Control and Optimization 4 Moscow University Computational Mathematics and Cybernetics 4 Zeitschrift für Analysis und ihre Anwendungen 4 Acta Applicandae Mathematicae 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Computational Mathematics and Modeling ...and 174 more Serials
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#### Cited in 48 Fields

 1,515 Partial differential equations (35-XX) 903 Numerical analysis (65-XX) 761 Optics, electromagnetic theory (78-XX) 355 Fluid mechanics (76-XX) 244 Mechanics of deformable solids (74-XX) 226 Integral equations (45-XX) 101 Operator theory (47-XX) 88 Potential theory (31-XX) 83 Ordinary differential equations (34-XX) 66 Calculus of variations and optimal control; optimization (49-XX) 51 Biology and other natural sciences (92-XX) 43 Quantum theory (81-XX) 39 Geophysics (86-XX) 38 Information and communication theory, circuits (94-XX) 28 Functions of a complex variable (30-XX) 27 Approximations and expansions (41-XX) 26 Systems theory; control (93-XX) 22 Special functions (33-XX) 22 Functional analysis (46-XX) 22 Classical thermodynamics, heat transfer (80-XX) 21 Integral transforms, operational calculus (44-XX) 21 Global analysis, analysis on manifolds (58-XX) 20 Statistical mechanics, structure of matter (82-XX) 19 Computer science (68-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 18 Statistics (62-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 12 Probability theory and stochastic processes (60-XX) 9 Operations research, mathematical programming (90-XX) 8 Dynamical systems and ergodic theory (37-XX) 5 Real functions (26-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Measure and integration (28-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Geometry (51-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX)