Cogar, Samuel; Colton, David; Monk, Peter Eigenvalue problems in inverse electromagnetic scattering theory. (English) Zbl 1445.78004 Langer, Ulrich (ed.) et al., Maxwell’s equations. Analysis and numerics. Contributions from the workshop on analysis and numerics of acoustic and electromagnetic problems, RICAM, Linz, Austria, October 17–22, 2016. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 24, 145-169 (2019). MSC: 78A46 35J25 35P05 35P25 35R30 78A45 35Q60 PDF BibTeX XML Cite \textit{S. Cogar} et al., Radon Ser. Comput. Appl. Math. 24, 145--169 (2019; Zbl 1445.78004) Full Text: DOI arXiv OpenURL
Colton, David; Kress, Rainer Inverse acoustic and electromagnetic scattering theory. 4th expanded edition. (English) Zbl 1425.35001 Applied Mathematical Sciences 93. Cham: Springer (ISBN 978-3-030-30350-1/hbk; 978-3-030-30351-8/ebook). xvii, 518 p. (2019). MSC: 35-02 35P25 35J05 35R30 45A05 65M30 78A45 PDF BibTeX XML Cite \textit{D. Colton} and \textit{R. Kress}, Inverse acoustic and electromagnetic scattering theory. 4th expanded edition. Cham: Springer (2019; Zbl 1425.35001) Full Text: DOI Link OpenURL
Cogar, S.; Colton, D.; Monk, P. Using eigenvalues to detect anomalies in the exterior of a cavity. (English) Zbl 1400.78015 Inverse Probl. 34, No. 8, Article ID 085006, 27 p. (2018). Reviewer: David Kapanadze (Tbilisi) MSC: 78A46 35Q60 35P25 PDF BibTeX XML Cite \textit{S. Cogar} et al., Inverse Probl. 34, No. 8, Article ID 085006, 27 p. (2018; Zbl 1400.78015) Full Text: DOI OpenURL
Colton, David Peter Monk and inverse scattering theory. (English) Zbl 1397.35002 Comput. Math. Appl. 74, No. 11, 2640-2644 (2017). MSC: 35-03 01A70 78A46 35R30 35J05 35P25 PDF BibTeX XML Cite \textit{D. Colton}, Comput. Math. Appl. 74, No. 11, 2640--2644 (2017; Zbl 1397.35002) Full Text: DOI OpenURL
Cakoni, Fioralba; Colton, David; Rezac, Jacob D. The Born transmission eigenvalue problem. (English) Zbl 1366.78018 Inverse Probl. 32, No. 10, Article ID 105014, 14 p. (2016). Reviewer: Pierluigi Maponi (Camerino) MSC: 78A46 35P25 76Q05 PDF BibTeX XML Cite \textit{F. Cakoni} et al., Inverse Probl. 32, No. 10, Article ID 105014, 14 p. (2016; Zbl 1366.78018) Full Text: DOI OpenURL
Colton, David; Kress, Rainer Inverse scattering. 2nd edition. (English) Zbl 1331.35384 Scherzer, Otmar (ed.), Handbook of mathematical methods in imaging. In 3 volumes. New York, NY: Springer (ISBN 978-1-4939-0789-2/print; 978-1-4939-0790-8/ebook; 978-1-4939-0791-5/print+ebook; 978-3-642-27795-5/online (updated continuously)). Springer Reference, 649-700 (2015). MSC: 35R30 35R25 78A46 94A08 35-02 PDF BibTeX XML Cite \textit{D. Colton} and \textit{R. Kress}, in: Handbook of mathematical methods in imaging. In 3 volumes. New York, NY: Springer. 649--700 (2015; Zbl 1331.35384) Full Text: DOI OpenURL
Cakoni, Fioralba; Colton, David; Meng, Shixu The inverse scattering problem for a penetrable cavity with internal measurements. (English) Zbl 1330.35524 Stefanov, Plamen (ed.) et al., Inverse problems and applications. Proceedings of two conferences in honour of Gunther Uhlmann’s 60th birthday, Irvine, CA, USA, June 18–22, 2012 and Hangzhou, China, September 17–21, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1079-7/pbk; 978-1-4704-1659-1/ebook). Contemporary Mathematics 615, 71-103 (2014). MSC: 35R30 35P25 35Q60 78A46 PDF BibTeX XML Cite \textit{F. Cakoni} et al., Contemp. Math. 615, 71--103 (2014; Zbl 1330.35524) OpenURL
Colton, David; Meng, Shixu Spectral properties of the exterior transmission eigenvalue problem. (English) Zbl 1318.65075 Inverse Probl. 30, No. 10, Article ID 105010, 16 p. (2014). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N35 78A46 35J05 65N25 35P15 35P25 65N21 65R30 PDF BibTeX XML Cite \textit{D. Colton} and \textit{S. Meng}, Inverse Probl. 30, No. 10, Article ID 105010, 16 p. (2014; Zbl 1318.65075) Full Text: DOI Link OpenURL
Cakoni, Fioralba; Colton, David A qualitative approach to inverse scattering theory. (English) Zbl 1302.35001 Applied Mathematical Sciences 188. New York, NY: Springer (ISBN 978-1-4614-8826-2/hbk; 978-1-4614-8827-9/ebook). x, 297 p. (2014). Reviewer: Rainer Picard (Dresden) MSC: 35-02 35P25 35R30 35J05 47A40 45Q05 78A45 78A46 PDF BibTeX XML Cite \textit{F. Cakoni} and \textit{D. Colton}, A qualitative approach to inverse scattering theory. New York, NY: Springer (2014; Zbl 1302.35001) Full Text: DOI OpenURL
Colton, David; Kress, Rainer Inverse acoustic and electromagnetic scattering theory. 3rd ed. (English) Zbl 1266.35121 Applied Mathematical Sciences 93. New York, NY: Springer (ISBN 978-1-4614-4941-6/hbk; 978-1-4614-4942-3/ebook). xiv, 405 p. (2013). Reviewer: Johannes Elschner (Berlin) MSC: 35P25 35J05 35R30 45A05 65M30 78A45 PDF BibTeX XML Cite \textit{D. Colton} and \textit{R. Kress}, Inverse acoustic and electromagnetic scattering theory. 3rd ed. New York, NY: Springer (2013; Zbl 1266.35121) Full Text: DOI Link OpenURL
Leung, Yuk-J; Colton, David Complex transmission eigenvalues for spherically stratified media. (English) Zbl 1260.47012 Inverse Probl. 28, No. 7, Article ID 075005, 9 p. (2012). Reviewer: Johannes Elschner (Berlin) MSC: 47A40 35J05 78A46 PDF BibTeX XML Cite \textit{Y.-J Leung} and \textit{D. Colton}, Inverse Probl. 28, No. 7, Article ID 075005, 9 p. (2012; Zbl 1260.47012) Full Text: DOI OpenURL
Qin, Hai-Hua; Colton, David The inverse scattering problem for cavities with impedance boundary condition. (English) Zbl 1238.35189 Adv. Comput. Math. 36, No. 2, 157-174 (2012). MSC: 35R30 65N21 78A46 PDF BibTeX XML Cite \textit{H.-H. Qin} and \textit{D. Colton}, Adv. Comput. Math. 36, No. 2, 157--174 (2012; Zbl 1238.35189) Full Text: DOI OpenURL
Qin, Hai-Hua; Colton, David The inverse scattering problem for cavities. (English) Zbl 1241.78027 Appl. Numer. Math. 62, No. 6, 699-708 (2012). MSC: 78A46 35J05 35R30 78M50 PDF BibTeX XML Cite \textit{H.-H. Qin} and \textit{D. Colton}, Appl. Numer. Math. 62, No. 6, 699--708 (2012; Zbl 1241.78027) Full Text: DOI OpenURL
Cakoni, Fioralba; Colton, David; Haddar, Houssem The interior transmission eigenvalue problem for absorbing media. (English) Zbl 1298.78019 Inverse Probl. 28, No. 4, Article ID 045005, 15 p. (2012). Reviewer: Robert F. Remis (Delft) MSC: 78A46 35J05 35R30 65N21 65N25 PDF BibTeX XML Cite \textit{F. Cakoni} et al., Inverse Probl. 28, No. 4, Article ID 045005, 15 p. (2012; Zbl 1298.78019) Full Text: DOI Link OpenURL
Colton, David; Kress, Rainer Inverse scattering. (English) Zbl 1259.35003 Scherzer, Otmar (ed.), Handbook of mathematical methods in imaging. In 3 volumes. Berlin: Springer (ISBN 978-0-387-92919-4/hbk; 978-0-387-92920-0/ebook; 978-0-387-92921-7/print+ebook). Springer Reference, 551-598 (2011). MSC: 35-02 35R30 35R25 94A08 78A46 PDF BibTeX XML Cite \textit{D. Colton} and \textit{R. Kress}, in: Handbook of mathematical methods in imaging. In 3 volumes. Berlin: Springer. 551--598 (2011; Zbl 1259.35003) Full Text: DOI OpenURL
Cakoni, Fioralba; Colton, David; Monk, Peter The linear sampling method in inverse electromagnetic scattering. (English) Zbl 1221.78001 CBMS-NSF Regional Conference Series in Applied Mathematics 80. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898719-39-0/pbk; 978-0-89871-940-6/ebook). x, 138 p. (2011). Reviewer: Frank Jochmann (Berlin) MSC: 78-02 35R30 35Q60 78A45 45P05 47G10 78A46 PDF BibTeX XML Cite \textit{F. Cakoni} et al., The linear sampling method in inverse electromagnetic scattering. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2011; Zbl 1221.78001) Full Text: DOI OpenURL
Cakoni, Fioralba; Colton, David; Gintides, Drossos The interior transmission eigenvalue problem. (English) Zbl 1219.35352 SIAM J. Math. Anal. 42, No. 6, 2912-2921 (2010). MSC: 35R30 35Q60 35J40 78A25 PDF BibTeX XML Cite \textit{F. Cakoni} et al., SIAM J. Math. Anal. 42, No. 6, 2912--2921 (2010; Zbl 1219.35352) Full Text: DOI Link OpenURL
Cakoni, Fioralba; Colton, David; Haddar, Houssem The interior transmission problem for regions with cavities. (English) Zbl 1209.35135 SIAM J. Math. Anal. 42, No. 1, 145-162 (2010). MSC: 35Q60 35R30 35J25 78A25 78A46 PDF BibTeX XML Cite \textit{F. Cakoni} et al., SIAM J. Math. Anal. 42, No. 1, 145--162 (2010; Zbl 1209.35135) Full Text: DOI Link OpenURL
Cakoni, Fioralba; Colton, David; Monk, Peter The determination of boundary coefficients from far field measurements. (English) Zbl 1204.78013 J. Integral Equations Appl. 22, No. 2, 167-191 (2010). MSC: 78A46 78A55 PDF BibTeX XML Cite \textit{F. Cakoni} et al., J. Integral Equations Appl. 22, No. 2, 167--191 (2010; Zbl 1204.78013) Full Text: DOI OpenURL
Cakoni, Fioralba; Colton, David; Monk, Peter; Sun, Jiguang The inverse electromagnetic scattering problem for anisotropic media. (English) Zbl 1197.35314 Inverse Probl. 26, No. 7, Article ID 074004, 14 p. (2010). MSC: 35R30 78A46 65N21 35P05 PDF BibTeX XML Cite \textit{F. Cakoni} et al., Inverse Probl. 26, No. 7, Article ID 074004, 14 p. (2010; Zbl 1197.35314) Full Text: DOI Link OpenURL
Colton, David; Monk, Peter; Sun, Jiguang Analytical and computational methods for transmission eigenvalues. (English) Zbl 1192.78024 Inverse Probl. 26, No. 4, Article ID 045011, 16 p. (2010). MSC: 78A46 78M10 35Q60 35P25 65F15 15A18 76Q05 PDF BibTeX XML Cite \textit{D. Colton} et al., Inverse Probl. 26, No. 4, Article ID 045011, 16 p. (2010; Zbl 1192.78024) Full Text: DOI OpenURL
Cakoni, Fioralba; Colton, David; Haddar, Houssem The computation of lower bounds for the norm of the index of refraction in an anisotropic media from far field data. (English) Zbl 1173.35722 J. Integral Equations Appl. 21, No. 2, 203-227 (2009). MSC: 35R30 35Q60 78A25 PDF BibTeX XML Cite \textit{F. Cakoni} et al., J. Integral Equations Appl. 21, No. 2, 203--227 (2009; Zbl 1173.35722) Full Text: DOI OpenURL
Cakoni, F.; Colton, D. The inverse scattering problem for anisotropic media. (English) Zbl 1182.78012 Charalambopoulos, A. (ed.) et al., Advanced topics in scattering and biomedical engineering. Proceedings of the 8th international workshop on mathematical methods in scattering theory and biomedical engineering, Lefkada, Greece, September 27–29, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-281-484-5/hbk). 21-31 (2008). MSC: 78A46 PDF BibTeX XML Cite \textit{F. Cakoni} and \textit{D. Colton}, in: Advanced topics in scattering and biomedical engineering. Proceedings of the 8th international workshop on mathematical methods in scattering theory and biomedical engineering, Lefkada, Greece, September 27--29, 2007. Hackensack, NJ: World Scientific. 21--31 (2008; Zbl 1182.78012) OpenURL
Cakoni, Fioralba; Çayören, Mehmet; Colton, David Transmission eigenvalues and the nondestructive testing of dielectrics. (English) Zbl 1157.35497 Inverse Probl. 24, No. 6, Article ID 065016, 15 p. (2008). MSC: 35R30 35P25 78A46 PDF BibTeX XML Cite \textit{F. Cakoni} et al., Inverse Probl. 24, No. 6, Article ID 065016, 15 p. (2008; Zbl 1157.35497) Full Text: DOI Link OpenURL
Cakoni, F.; Colton, D. Inequalities in inverse scattering theory. (English) Zbl 1387.35614 J. Inverse Ill-Posed Probl. 15, No. 5, 483-491 (2007). MSC: 35R30 35P25 78A45 PDF BibTeX XML Cite \textit{F. Cakoni} and \textit{D. Colton}, J. Inverse Ill-Posed Probl. 15, No. 5, 483--491 (2007; Zbl 1387.35614) Full Text: DOI OpenURL
Colton, David; Päivärinta, Lassi; Sylvester, John The interior transmission problem. (English) Zbl 1130.35132 Inverse Probl. Imaging 1, No. 1, 13-28 (2007). MSC: 35R30 78A46 35P25 PDF BibTeX XML Cite \textit{D. Colton} et al., Inverse Probl. Imaging 1, No. 1, 13--28 (2007; Zbl 1130.35132) Full Text: DOI OpenURL
Cakoni, Fioralba; Colton, David; Monk, Peter The inverse electromagnetic scattering problem for a partially coated dielectric. (English) Zbl 1222.78024 J. Comput. Appl. Math. 204, No. 2, 256-267 (2007). MSC: 78A46 35R30 PDF BibTeX XML Cite \textit{F. Cakoni} et al., J. Comput. Appl. Math. 204, No. 2, 256--267 (2007; Zbl 1222.78024) Full Text: DOI Link OpenURL
Cakoni, Fioralba; Colton, David; Monk, Peter On the use of transmission eigenvalues to estimate the index of refraction from far field data. (English) Zbl 1115.78008 Inverse Probl. 23, No. 2, 507-522 (2007). MSC: 78A46 35R30 35J25 PDF BibTeX XML Cite \textit{F. Cakoni} et al., Inverse Probl. 23, No. 2, 507--522 (2007; Zbl 1115.78008) Full Text: DOI Link OpenURL
Cakoni, Fioralba; Colton, David Target identification of buried coated objects. (English) Zbl 1182.35229 Comput. Appl. Math. 25, No. 2-3, 269-288 (2006). MSC: 35R30 35Q60 78A40 PDF BibTeX XML Cite \textit{F. Cakoni} and \textit{D. Colton}, Comput. Appl. Math. 25, No. 2--3, 269--288 (2006; Zbl 1182.35229) Full Text: DOI Link OpenURL
Colton, David L. Target identification of partially coated objects using electromagnetic waves. (English) Zbl 1127.78311 Fotiadis, Dimitrios I. (ed.) et al., Mathematical methods in scattering theory and biomedical engineering. Proceedings of the seventh international workshop, Nymphaio, Greece, September 8–11, 2005. Hackensack, NJ: World Scientific (ISBN 981-256-860-3/hbk). 104-111 (2006). MSC: 78A46 PDF BibTeX XML Cite \textit{D. L. Colton}, in: Mathematical methods in scattering theory and biomedical engineering. Proceedings of the seventh international workshop, Nymphaio, Greece, September 8--11, 2005. Hackensack, NJ: World Scientific. 104--111 (2006; Zbl 1127.78311) OpenURL
Cakoni, Fioralba; Colton, David Qualitative methods in inverse scattering theory. An introduction. (English) Zbl 1099.78008 Interaction of Mechanics and Mathematics. Berlin: Springer (ISBN 3-540-28844-9/pbk). viii, 227 p. (2006). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A46 35R30 35-01 78-01 35J25 35Q60 47A40 35P25 47H50 78A45 31A10 PDF BibTeX XML Cite \textit{F. Cakoni} and \textit{D. Colton}, Qualitative methods in inverse scattering theory. An introduction. Berlin: Springer (2006; Zbl 1099.78008) Full Text: DOI OpenURL
Cakoni, F.; Colton, D. Open problems in the qualitative approach to inverse electromagnetic scattering theory. (English) Zbl 1088.78003 Eur. J. Appl. Math. 16, No. 3, 411-425 (2005). Reviewer: Ömer Kavaklioglu (Izmir) MSC: 78A46 35P25 35Q60 PDF BibTeX XML Cite \textit{F. Cakoni} and \textit{D. Colton}, Eur. J. Appl. Math. 16, No. 3, 411--425 (2005; Zbl 1088.78003) Full Text: DOI OpenURL
Cakoni, Fioralba; Colton, David; Monk, Peter The determination of the surface conductivity of a partially coated dielectric. (English) Zbl 1083.78007 SIAM J. Appl. Math. 65, No. 3, 767-789 (2005). Reviewer: Ll. G. Chambers (Bangor) MSC: 78A46 35R30 78A45 35J05 PDF BibTeX XML Cite \textit{F. Cakoni} et al., SIAM J. Appl. Math. 65, No. 3, 767--789 (2005; Zbl 1083.78007) Full Text: DOI Link OpenURL
Colton, David; Haddar, Houssem An application of the reciprocity gap functional to inverse scattering theory. (English) Zbl 1086.35129 Inverse Probl. 21, No. 1, 383-398 (2005). MSC: 35R30 35J05 35P20 35P25 65N21 78A46 PDF BibTeX XML Cite \textit{D. Colton} and \textit{H. Haddar}, Inverse Probl. 21, No. 1, 383--398 (2005; Zbl 1086.35129) Full Text: DOI OpenURL
Cakoni, Fioralba; Colton, David The determination of the surface impedance of a partially coated obstacle from far field data. (English) Zbl 1059.35163 SIAM J. Appl. Math. 64, No. 2, 709-723 (2004). MSC: 35R30 78A46 78A45 35P25 35J05 PDF BibTeX XML Cite \textit{F. Cakoni} and \textit{D. Colton}, SIAM J. Appl. Math. 64, No. 2, 709--723 (2004; Zbl 1059.35163) Full Text: DOI OpenURL
Cakoni, Fioralba; Colton, David; Monk, Peter The electromagnetic inverse-scattering problem for partly coated Lipschitz domains. (English) Zbl 1071.78021 Proc. R. Soc. Edinb., Sect. A, Math. 134, No. 4, 661-682 (2004). Reviewer: Bogdan G. Nita (Upper Montclair) MSC: 78A46 35P25 35Q60 35R30 PDF BibTeX XML Cite \textit{F. Cakoni} et al., Proc. R. Soc. Edinb., Sect. A, Math. 134, No. 4, 661--682 (2004; Zbl 1071.78021) Full Text: DOI OpenURL
Cakoni, Fioralba; Colton, David A target signature for distinguishing perfect conductors from anisotropic media of finite conductivity. (English) Zbl 1059.78021 Math. Comput. Simul. 66, No. 4-5, 325-335 (2004). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 78A46 PDF BibTeX XML Cite \textit{F. Cakoni} and \textit{D. Colton}, Math. Comput. Simul. 66, No. 4--5, 325--335 (2004; Zbl 1059.78021) Full Text: DOI OpenURL
Colton, David Inverse acoustic and electromagnetic scattering theory. (English) Zbl 1081.78013 Uhlmann, Gunther (ed.), Inside out: Inverse problems and applications. Cambridge: Cambridge University Press (ISBN 0-521-82469-9/hbk). Math. Sci. Res. Inst. Publ. 47, 67-110 (2003). Reviewer: Xavier Antoine (Vandœuvre-lès-Nancy) MSC: 78A46 78A45 78-02 PDF BibTeX XML Cite \textit{D. Colton}, Math. Sci. Res. Inst. Publ. 47, 67--110 (2003; Zbl 1081.78013) Full Text: Link OpenURL
Cakoni, Fioralba; Colton, David A uniqueness theorem for an inverse electromagnetic scattering problem in inhomogeneous anisotropic media. (English) Zbl 1051.78013 Proc. Edinb. Math. Soc., II. Ser. 46, No. 2, 293-314 (2003). Reviewer: Alexander V. Gemintern (Haifa) MSC: 78A46 35P25 35Q60 35R30 78A25 78A45 PDF BibTeX XML Cite \textit{F. Cakoni} and \textit{D. Colton}, Proc. Edinb. Math. Soc., II. Ser. 46, No. 2, 293--314 (2003; Zbl 1051.78013) Full Text: DOI Link OpenURL
Colton, David; Haddar, Houssem; Piana, Michele The linear sampling method in inverse electromagnetic scattering theory. (English) Zbl 1049.78010 Inverse Probl. 19, No. 6, S105-S137 (2003). Reviewer: Johannes Elschner (Berlin) MSC: 78A46 35R30 35Q60 78-02 PDF BibTeX XML Cite \textit{D. Colton} et al., Inverse Probl. 19, No. 6, S105--S137 (2003; Zbl 1049.78010) Full Text: DOI OpenURL
Cakoni, Fioralba; Colton, David On the mathematical basis of the linear sampling method. (English) Zbl 1054.35123 Georgian Math. J. 10, No. 3, 411-425 (2003). Reviewer: Dinh Nho Hao (Hanoi) MSC: 35R30 78A46 45A05 PDF BibTeX XML Cite \textit{F. Cakoni} and \textit{D. Colton}, Georgian Math. J. 10, No. 3, 411--425 (2003; Zbl 1054.35123) Full Text: EuDML OpenURL
Colton, David; Monk, Peter Herglotz wave functions in inverse electromagnetic scattering theory. (English) Zbl 1042.78007 Ainsworth, Mark (ed.) et al., Topics in computational wave propagation. Direct and inverse problems. Berlin: Springer (ISBN 3-540-00744-X/pbk). Lect. Notes Comput. Sci. Eng. 31, 367-399 (2003). Reviewer: Gunther Schmidt (Berlin) MSC: 78A46 78M25 65R30 65R32 PDF BibTeX XML Cite \textit{D. Colton} and \textit{P. Monk}, Lect. Notes Comput. Sci. Eng. 31, 367--399 (2003; Zbl 1042.78007) OpenURL
Cakoni, Fioralba; Colton, David; Darrigrand, Eric The inverse electromagnetic scattering problem for screens. (English) Zbl 1142.78310 Inverse Probl. 19, No. 3, 627-642 (2003). MSC: 78A46 78A40 35J05 35P25 35R30 35Q60 PDF BibTeX XML Cite \textit{F. Cakoni} et al., Inverse Probl. 19, No. 3, 627--642 (2003; Zbl 1142.78310) Full Text: DOI Link OpenURL
Cakoni, Fioralba; Colton, David Combined far-field operators in electromagnetic inverse scattering theory. (English) Zbl 1069.35091 Math. Methods Appl. Sci. 26, No. 5, 413-429 (2003). MSC: 35R30 78A46 35J05 PDF BibTeX XML Cite \textit{F. Cakoni} and \textit{D. Colton}, Math. Methods Appl. Sci. 26, No. 5, 413--429 (2003; Zbl 1069.35091) Full Text: DOI OpenURL
Cakoni, Fioralba; Colton, David; Haddar, Houssem The linear sampling method for anisotropic media. (English) Zbl 1019.78003 J. Comput. Appl. Math. 146, No. 2, 285-299 (2002). Reviewer: Johannes Elschner (Berlin) MSC: 78A46 35R30 35P25 PDF BibTeX XML Cite \textit{F. Cakoni} et al., J. Comput. Appl. Math. 146, No. 2, 285--299 (2002; Zbl 1019.78003) Full Text: DOI OpenURL
Colton, David; Haddar, Houssem; Monk, Peter The linear sampling method for solving the electromagnetic inverse scattering problem. (English) Zbl 1037.78008 SIAM J. Sci. Comput. 24, No. 3, 719-731 (2002). MSC: 78A46 35R30 35Q60 78A25 78M25 PDF BibTeX XML Cite \textit{D. Colton} et al., SIAM J. Sci. Comput. 24, No. 3, 719--731 (2002; Zbl 1037.78008) Full Text: DOI OpenURL
Colton, David; Kress, Rainer On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces. (English) Zbl 0998.35034 Math. Methods Appl. Sci. 24, No. 16, 1289-1303 (2001). MSC: 35P25 35J05 78A25 PDF BibTeX XML Cite \textit{D. Colton} and \textit{R. Kress}, Math. Methods Appl. Sci. 24, No. 16, 1289--1303 (2001; Zbl 0998.35034) Full Text: DOI OpenURL
Colton, D.; Monk, P. Mathematical and numerical methods in inverse acoustic scattering theory. (English) Zbl 1003.76080 ZAMM, Z. Angew. Math. Mech. 81, No. 11, 723-731 (2001). MSC: 76Q05 35P25 35R30 74J20 78A45 PDF BibTeX XML Cite \textit{D. Colton} and \textit{P. Monk}, ZAMM, Z. Angew. Math. Mech. 81, No. 11, 723--731 (2001; Zbl 1003.76080) Full Text: DOI OpenURL
Colton, David; Sleeman, Brian D. An approximation property of importance in inverse scattering theory. (English) Zbl 0992.35115 Proc. Edinb. Math. Soc., II. Ser. 44, No. 3, 449-454 (2001). Reviewer: Andreas Kirsch (Karlsruhe) MSC: 35R30 35P25 78A46 PDF BibTeX XML Cite \textit{D. Colton} and \textit{B. D. Sleeman}, Proc. Edinb. Math. Soc., II. Ser. 44, No. 3, 449--454 (2001; Zbl 0992.35115) Full Text: DOI OpenURL
Colton, David; Piana, Michele Inequalities for inverse scattering problems in absorbing media. (English) Zbl 0991.35106 Inverse Probl. 17, No. 4, 597-605 (2001). Reviewer: Andreas Kirsch (Karlsruhe) MSC: 35R30 35J05 78A46 PDF BibTeX XML Cite \textit{D. Colton} and \textit{M. Piana}, Inverse Probl. 17, No. 4, 597--605 (2001; Zbl 0991.35106) Full Text: DOI OpenURL
Colton, David; Kirsch, Andreas; Monk, Peter The linear sampling method in inverse scattering theory. (English) Zbl 0968.35132 Colton, David (ed.) et al., Surveys on solution methods for inverse problems. Wien: Springer. 107-118 (2000). Reviewer: Viorel Iftimie (Bucureşti) MSC: 35R30 35J25 92C55 78A46 PDF BibTeX XML Cite \textit{D. Colton} et al., in: Surveys on solution methods for inverse problems. Wien: Springer. 107--118 (2000; Zbl 0968.35132) OpenURL
Colton, David; Giebermann, Klaus; Monk, Peter A regularized sampling method for solving three-dimensional inverse scattering problems. (English) Zbl 0961.35172 SIAM J. Sci. Comput. 21, No. 6, 2316-2330 (2000). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 35R30 35J05 78A46 PDF BibTeX XML Cite \textit{D. Colton} et al., SIAM J. Sci. Comput. 21, No. 6, 2316--2330 (2000; Zbl 0961.35172) Full Text: DOI OpenURL
Colton, David L. Critical values in inverse scattering theory. (English) Zbl 0961.65101 Santosa, Fadil (ed.) et al., Analytical and computational methods in scattering and applied mathematics. A volume to the memory of Ralph Ellis Kleinman. Boca Raton, FL: Chapman & Hall/ CRC. Chapman Hall/CRC Res. Notes Math. 417, 57-65 (2000). MSC: 65N38 35J05 78A46 78M15 PDF BibTeX XML Cite \textit{D. L. Colton}, Chapman Hall/CRC Res. Notes Math. 417, 57--65 (2000; Zbl 0961.65101) OpenURL
Colton, David; Monk, Peter A linear sampling method for the detection of leukemia using microwaves. II. (English) Zbl 1069.92511 SIAM J. Appl. Math. 60, No. 1, 241-255 (1999). MSC: 92C50 92C55 35P25 35R30 78A70 PDF BibTeX XML Cite \textit{D. Colton} and \textit{P. Monk}, SIAM J. Appl. Math. 60, No. 1, 241--255 (1999; Zbl 1069.92511) Full Text: DOI OpenURL
Colton, David; Potthast, Roland The inverse electromagnetic scattering problem for an anisotropic medium. (English) Zbl 0967.78006 Q. J. Mech. Appl. Math. 52, No. 3, 349-372 (1999). Reviewer: Denise Huet (Nancy) MSC: 78A46 35Q60 35R30 PDF BibTeX XML Cite \textit{D. Colton} and \textit{R. Potthast}, Q. J. Mech. Appl. Math. 52, No. 3, 349--372 (1999; Zbl 0967.78006) Full Text: DOI OpenURL
Colton, David; Monk, Peter Mathematical problems in microwave medical imaging. (English) Zbl 0935.35173 Börgers, Christoph (ed.) et al., Computational radiology and imaging. Therapy and diagnostics. Proceedings of a workshop, University of Minnesota, Minneapolis, MN, USA, March 17-21, 1997. New York, NY: Springer. IMA Vol. Math. Appl. 110, 137-156 (1999). Reviewer: A.Kirsch (Karlsruhe) MSC: 35R30 78A46 78A70 92C55 PDF BibTeX XML Cite \textit{D. Colton} and \textit{P. Monk}, IMA Vol. Math. Appl. 110, 137--156 (1999; Zbl 0935.35173) OpenURL
Colton, David L. A simple method for solving electromagnetic inverse scattering problems. (English) Zbl 1050.78506 Dassios, G. (ed.) et al., Mathematical methods in scattering theory and biomedical technology. Proceedings of a workshop dedicated to Professor Gary Roach, Metsovo, Greece, June 30–July 1, 1997. Harlow: Longman (ISBN 0-582-36804-9/pbk). Pitman Res. Notes Math. Ser. 390, 3-11 (1998). MSC: 78A46 35R30 78-01 PDF BibTeX XML Cite \textit{D. L. Colton}, in: Mathematical methods in scattering theory and biomedical technology. Proceedings of a workshop dedicated to Professor Gary Roach, Metsovo, Greece, June 30--July 1, 1997. Harlow: Longman. 3--11 (1998; Zbl 1050.78506) OpenURL
Colton, David L. Recent progress on the inverse electromagnetic scattering problem for anisotropic media. (English) Zbl 0963.78020 DeSanto, John A. (ed.), Mathematical and numerical aspects of wave propagation. Proceedings of the 4th international conference held at Mines in Golden, CO, USA, June 1-5, 1998. Philadelphia, PA: SIAM. Proc. Appl. Math. 22-33 (1998). MSC: 78A46 35Q60 PDF BibTeX XML Cite \textit{D. L. Colton}, Proc. Appl. Math. 22--33, 22--33 (1998; Zbl 0963.78020) OpenURL
Colton, David; Monk, Peter A linear sampling method for the detection of leukemia using microwaves. (English) Zbl 0907.92014 SIAM J. Appl. Math. 58, No. 3, 926-941 (1998). Reviewer: Ll.G.Chambers (Bangor) MSC: 92C50 78A70 35P25 35R25 PDF BibTeX XML Cite \textit{D. Colton} and \textit{P. Monk}, SIAM J. Appl. Math. 58, No. 3, 926--941 (1998; Zbl 0907.92014) Full Text: DOI OpenURL
Colton, David; Kress, Rainer Inverse acoustic and electromagnetic scattering theory. 2nd ed. (English) Zbl 0893.35138 Applied Mathematical Sciences. 93. Berlin: Springer. xii, 334 p. (1998). Reviewer: G.Bruckner (Berlin) MSC: 35R30 35P25 35-02 35J05 45A05 78A45 65R30 76Q05 PDF BibTeX XML Cite \textit{D. Colton} and \textit{R. Kress}, Inverse acoustic and electromagnetic scattering theory. 2nd ed. Berlin: Springer (1998; Zbl 0893.35138) OpenURL
Colton, D. A brief introduction to inverse scattering theory. (English) Zbl 0898.35113 Constanda, C. (ed.) et al., Integral methods in science and engineering. Vol. I: Analytic methods. Proceedings of the 4th international conference, IMSE ’96, Oulu, Finland, June 17–20, 1996. Harlow: Longman. Pitman Res. Notes Math. Ser. 374, 3-8 (1997). MSC: 35R30 35Q60 78A45 PDF BibTeX XML Cite \textit{D. Colton}, in: Integral methods in science and engineering. Vol. I: Analytic methods. Proceedings of the 4th international conference, IMSE '96, Oulu, Finland, June 17--20, 1996. Harlow: Longman. 3--8 (1997; Zbl 0898.35113) OpenURL
Colton, David L. Qualitative methods in inverse scattering theory. (English) Zbl 0880.65118 Engl, Heinz W. (ed.) et al., Inverse Problems in medical imaging and nondestructive testing. Proceedings of the conference in Oberwolfach, Germany, February 4–10, 1996. Wien: Springer. 36-42 (1997). MSC: 65R20 65Y20 65R30 45B05 78A45 81U40 PDF BibTeX XML Cite \textit{D. L. Colton}, in: Inverse Problems in medical imaging and nondestructive testing. Proceedings of the conference in Oberwolfach, Germany, February 4--10, 1996. Wien: Springer. 36--42 (1997; Zbl 0880.65118) OpenURL
Colton, David A survey of selected topics in inverse electromagnetic scattering theory. (English) Zbl 0872.35119 Chavent, Guy (ed.) et al., Inverse problems in wave propagation. Proceedings of the IMA workshop, Minneapolis, MN, USA, March 6–17, 1995. New York, NY: Springer. IMA Vol. Math. Appl. 90, 105-127 (1997). Reviewer: T.Aktosun (Fargo) MSC: 35R30 78A45 35P25 PDF BibTeX XML Cite \textit{D. Colton}, IMA Vol. Math. Appl. 90, 105--127 (1997; Zbl 0872.35119) OpenURL
Colton, David; Kirsch, Andreas A simple method for solving inverse scattering problems in the resonance region. (English) Zbl 0859.35133 Inverse Probl. 12, No. 4, 383-393 (1996). MSC: 35R30 35J05 78A45 PDF BibTeX XML Cite \textit{D. Colton} and \textit{A. Kirsch}, Inverse Probl. 12, No. 4, 383--393 (1996; Zbl 0859.35133) Full Text: DOI Link OpenURL
Colton, David; Erbe, Claudia Spectral theory of the magnetic far field operator in an orthotropic medium. (English) Zbl 0886.35167 Angell, T. S. (ed.) et al., Nonlinear problems in applied mathematics. In honor of Ivar Stakgold on his 70th birthday. Philadelphia, PA: SIAM. 96-103 (1996). MSC: 35R30 78A45 35P25 35Q60 PDF BibTeX XML Cite \textit{D. Colton} and \textit{C. Erbe}, in: Nonlinear problems in applied mathematics. In honor of Ivar Stakgold on his 70th birthday. Philadelphia, PA: SIAM. 96--103 (1996; Zbl 0886.35167) OpenURL
Colton, David; Kress, Rainer Eigenvalues of the far field operator and inverse scattering theory. (English) Zbl 0826.35134 SIAM J. Math. Anal. 26, No. 3, 601-615 (1995). MSC: 35R30 35P25 78A45 76Q05 PDF BibTeX XML Cite \textit{D. Colton} and \textit{R. Kress}, SIAM J. Math. Anal. 26, No. 3, 601--615 (1995; Zbl 0826.35134) Full Text: DOI OpenURL
Colton, David; Monk, Peter The detection and monitoring of leukemia using electromagnetic waves: Numerical analysis. (English) Zbl 0821.35144 Inverse Probl. 11, No. 2, 329-342 (1995). MSC: 35R30 92C50 35Q60 78A45 PDF BibTeX XML Cite \textit{D. Colton} and \textit{P. Monk}, Inverse Probl. 11, No. 2, 329--342 (1995; Zbl 0821.35144) Full Text: DOI OpenURL
Colton, David; Kirsch, Andreas Target signatures for imperfectly conducting obstacles at fixed frequency. (English) Zbl 0808.35149 Q. J. Mech. Appl. Math. 47, No. 1, 1-15 (1994). MSC: 35Q60 35P25 35R30 78A45 PDF BibTeX XML Cite \textit{D. Colton} and \textit{A. Kirsch}, Q. J. Mech. Appl. Math. 47, No. 1, 1--15 (1994; Zbl 0808.35149) Full Text: DOI OpenURL
Colton, David; Päivärinta, Lassi The uniqueness of a solution to an inverse scattering problem for electromagnetic waves. (English) Zbl 0756.35114 Arch. Ration. Mech. Anal. 119, No. 1, 59-70 (1992). Reviewer: V.Isakov (Wichita) MSC: 35R30 35Q60 78A45 35P25 PDF BibTeX XML Cite \textit{D. Colton} and \textit{L. Päivärinta}, Arch. Ration. Mech. Anal. 119, No. 1, 59--70 (1992; Zbl 0756.35114) Full Text: DOI OpenURL
Colton, David; Kirsch, Andreas The use of polarization effects in electromagnetic inverse scattering problems. (English) Zbl 0752.35085 Math. Methods Appl. Sci. 15, No. 1, 1-10 (1992). MSC: 35R30 35P25 78A45 PDF BibTeX XML Cite \textit{D. Colton} and \textit{A. Kirsch}, Math. Methods Appl. Sci. 15, No. 1, 1--10 (1992; Zbl 0752.35085) Full Text: DOI OpenURL
Colton, David; Kress, Rainer Inverse acoustic and electromagnetic scattering theory. (English) Zbl 0760.35053 Applied Mathematical Sciences. 93. Berlin: Springer-Verlag. x, 305 p. (1992). Reviewer: M.Idemen (İstanbul) MSC: 35R30 35P25 35-02 45A05 78A45 65R30 76Q05 PDF BibTeX XML Cite \textit{D. Colton} and \textit{R. Kress}, Inverse acoustic and electromagnetic scattering theory. Berlin: Springer-Verlag (1992; Zbl 0760.35053) OpenURL
Colton, David The inverse scattering problem for electromagnetic waves in an inhomogeneous medium. (English) Zbl 0744.35063 Direct and inverse boundary value problems, Pap. 12th Conf. Methods Techniques Math. Phys., Oberwolfach/Ger. 1989, Methoden Verfahren Math. Phys. 37, 27-35 (1991). Reviewer: V.Isakov (Wichita) MSC: 35R30 35P25 31B10 35Q60 78A45 PDF BibTeX XML Cite \textit{D. Colton}, in: Deconvolution of appearance potential spectra. . 27--35 (1991; Zbl 0744.35063) OpenURL
Colton, David; Monk, Peter The scattering of electromagnetic waves by a perfectly conducting infinite cylinder. (English) Zbl 0778.35110 Math. Methods Appl. Sci. 12, No. 6, 503-518 (1990). MSC: 35R30 78A45 PDF BibTeX XML Cite \textit{D. Colton} and \textit{P. Monk}, Math. Methods Appl. Sci. 12, No. 6, 503--518 (1990; Zbl 0778.35110) Full Text: DOI OpenURL
Colton, David; Kress, Rainer Time harmonic electromagnetic waves in an inhomogeneous medium. (English) Zbl 0729.35097 Proc. R. Soc. Edinb., Sect. A 116, No. 3-4, 279-293 (1990). Reviewer: B.D.Sleeman (Dundee) MSC: 35P25 78A45 35J05 35R30 PDF BibTeX XML Cite \textit{D. Colton} and \textit{R. Kress}, Proc. R. Soc. Edinb., Sect. A, Math. 116, No. 3--4, 279--293 (1990; Zbl 0729.35097) Full Text: DOI OpenURL
Colton, David; Päivärinta, Lassi Far-field patterns for electromagnetic waves in an inhomogeneous medium. (English) Zbl 0729.35096 SIAM J. Math. Anal. 21, No. 6, 1537-1549 (1990). Reviewer: B.D.Sleeman (Dundee) MSC: 35P25 35J05 78A45 PDF BibTeX XML Cite \textit{D. Colton} and \textit{L. Päivärinta}, SIAM J. Math. Anal. 21, No. 6, 1537--1549 (1990; Zbl 0729.35096) Full Text: DOI OpenURL
Colton, David; Kress, Rainer Karp’s theorem in electromagnetic scattering theory. (English) Zbl 0699.35252 Proc. Am. Math. Soc. 104, No. 3, 764-769 (1988). Reviewer: A.Kirsch MSC: 35R30 78A40 35P25 PDF BibTeX XML Cite \textit{D. Colton} and \textit{R. Kress}, Proc. Am. Math. Soc. 104, No. 3, 764--769 (1988; Zbl 0699.35252) Full Text: DOI OpenURL
Colton, David; Päivärinta, Lassi Far field patterns and the inverse scattering problem for electromagnetic waves in an inhomogeneous medium. (English) Zbl 0669.35109 Math. Proc. Camb. Philos. Soc. 103, No. 3, 561-575 (1988). Reviewer: D.Colton MSC: 35R30 78A45 35B40 PDF BibTeX XML Cite \textit{D. Colton} and \textit{L. Päivärinta}, Math. Proc. Camb. Philos. Soc. 103, No. 3, 561--575 (1988; Zbl 0669.35109) Full Text: DOI OpenURL
Colton, D. Optimal methods for determining the shape of an obstacle. (English) Zbl 0666.35077 Theory and applications of inverse problems, Proc. Symp., Helsinki/Finl. 1985, Pitman Res. Notes Math. Ser. 167, 1-7 (1988). Reviewer: H.Ding MSC: 35R30 35J05 78A45 35P25 PDF BibTeX XML OpenURL
Colton, D.; Monk, P.; Santosa, F. Inverse problems in scattering theory. (English) Zbl 0658.35092 Partial differential equations and applied mathematics, Oakland Conf., Rochester/Mich. 1986, Pitman Res. Notes Math. 154, 39-73 (1987). Reviewer: G.Anger MSC: 35R30 78A45 35L20 86A15 PDF BibTeX XML OpenURL
Colton, David Interior eigenvalues and the inverse scattering problem for electromagnetic waves. (English) Zbl 0615.73027 Problems of applied analysis, Pap. 11th Conf. Methods Techniques Math. Phys., Oberwolfach/Ger. 1985, Methoden Verfahren Math. Phys. 33, 75-86 (1987). Reviewer: E.V.Nicolau MSC: 74J25 78A45 49R50 47A40 PDF BibTeX XML OpenURL
Colton, David; Kress, Rainer Dense sets and far field patterns in electromagnetic wave propagation. (English) Zbl 0594.35087 SIAM J. Math. Anal. 16, 1049-1060 (1985). Reviewer: Z.Guo MSC: 35Q99 78A45 PDF BibTeX XML Cite \textit{D. Colton} and \textit{R. Kress}, SIAM J. Math. Anal. 16, 1049--1060 (1985; Zbl 0594.35087) Full Text: DOI OpenURL
Colton, D.; Kirsch, A. Dense sets and far field patterns for the transmission problem. (English) Zbl 0612.76090 Classical scattering, Univ. Strathclyde Semin. Appl. Math. Anal., Shiva Math. Ser. 9, 45-54 (1984). Reviewer: Ting Lu MSC: 76Q05 78A40 78A45 35P25 PDF BibTeX XML OpenURL
Colton, David The inverse scattering problem for time-harmonic acoustic waves. (English) Zbl 0553.35087 SIAM Rev. 26, 323-350 (1984). Reviewer: A.G.Ramm MSC: 35R30 35P25 78A45 PDF BibTeX XML Cite \textit{D. Colton}, SIAM Rev. 26, 323--350 (1984; Zbl 0553.35087) Full Text: DOI OpenURL
Colton, D. L. Analytic continuation of solutions to partial differential equations with applications to problems in scattering theory. (English) Zbl 0536.35008 Complex analysis. Methods, trends, and applications, Math. Lehrbücher Monogr., II. Abt., Math. Monogr. 61, 238-248 (1983). Reviewer: R.Millar MSC: 35B60 35J05 35R30 35P25 78A45 PDF BibTeX XML OpenURL
Colton, David; Kress, Rainer The impedance boundary value problem for the time harmonic Maxwell equations. (English) Zbl 0475.35029 Math. Methods Appl. Sci. 3, 475-487 (1981). MSC: 35F15 78A40 35R30 35Q99 35J05 35A05 35R25 PDF BibTeX XML Cite \textit{D. Colton} and \textit{R. Kress}, Math. Methods Appl. Sci. 3, 475--487 (1981; Zbl 0475.35029) Full Text: DOI OpenURL
Colton, David; Kirsch, Andreas Stable methods for solving the inverse scattering problem for a cylinder. (English) Zbl 0474.35084 Proc. R. Soc. Edinb., Sect. A 89, 181-188 (1981). MSC: 35R30 35R25 78A45 35A35 PDF BibTeX XML Cite \textit{D. Colton} and \textit{A. Kirsch}, Proc. R. Soc. Edinb., Sect. A, Math. 89, 181--188 (1981; Zbl 0474.35084) Full Text: DOI OpenURL
Colton, David; Kirsch, Andreas The determination of the surface impedance of an obstacle from measurements of the far field pattern. (English) Zbl 0464.35077 SIAM J. Appl. Math. 41, 7-15 (1981). MSC: 35Q99 35P25 35R25 78A45 PDF BibTeX XML Cite \textit{D. Colton} and \textit{A. Kirsch}, SIAM J. Appl. Math. 41, 7--15 (1981; Zbl 0464.35077) Full Text: DOI OpenURL
Colton, David The inverse electromagnetic scattering problem for a perfectly conducting cylinder. (English) Zbl 0947.78535 IEEE Trans. Antennas Propag. 29, No. 2, 364-368 (1981). MSC: 78A45 30C85 35J05 PDF BibTeX XML Cite \textit{D. Colton}, IEEE Trans. Antennas Propag. 29, No. 2, 364--368 (1981; Zbl 0947.78535) Full Text: DOI OpenURL
Colton, David; Kleinman, Ralph The direct and inverse scattering problems for an arbitrary cylinder: Dirichlet boundary conditions. (English) Zbl 0439.35020 Proc. R. Soc. Edinb., Sect. A 86, 29-42 (1980). MSC: 35J05 35P25 35R30 78A45 PDF BibTeX XML Cite \textit{D. Colton} and \textit{R. Kleinman}, Proc. R. Soc. Edinb., Sect. A, Math. 86, 29--42 (1980; Zbl 0439.35020) Full Text: DOI OpenURL
Colton, David The solution of problems in radiowave propagation by the method of parabolic equations and transformation operators. (English) Zbl 0398.35050 Appl. Anal. 8, 11-22 (1978). MSC: 35K20 78A45 35A35 35Q99 PDF BibTeX XML Cite \textit{D. Colton}, Appl. Anal. 8, 11--22 (1978; Zbl 0398.35050) Full Text: DOI OpenURL