Kress, Rainer The DB boundary condition in electromagnetic scattering revisited. (English) Zbl 1471.35097 SIAM J. Math. Anal. 53, No. 3, 3661-3680 (2021). MSC: 35J05 35P25 35R30 45A05 78A40 PDF BibTeX XML Cite \textit{R. Kress}, SIAM J. Math. Anal. 53, No. 3, 3661--3680 (2021; Zbl 1471.35097) Full Text: DOI OpenURL
Kress, Rainer Some old and some new results in inverse obstacle scattering. (English) Zbl 1455.35197 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, 259-283 (2019). MSC: 35Q35 35P25 35P30 35R30 45A05 76Q05 78A46 35Q60 35R25 35J05 PDF BibTeX XML Cite \textit{R. Kress}, Radon Ser. Comput. Appl. Math. 24, 259--283 (2019; Zbl 1455.35197) Full Text: DOI 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 OpenURL
Kress, R. Nonlocal impedance conditions in direct and inverse obstacle scattering. (English) Zbl 1407.65270 Inverse Probl. 35, No. 2, Article ID 024002, 22 p. (2019). MSC: 65N21 35J05 78A46 78A45 35R30 45Q05 65R20 65R32 35P25 PDF BibTeX XML Cite \textit{R. Kress}, Inverse Probl. 35, No. 2, Article ID 024002, 22 p. (2019; Zbl 1407.65270) Full Text: DOI OpenURL
Kress, Rainer Integral equation methods in inverse obstacle scattering with a generalized impedance boundary condition. (English) Zbl 1407.65271 Dick, Josef (ed.) et al., Contemporary computational mathematics – a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer. 721-740 (2018). MSC: 65N21 45Q05 35J05 35R09 78A45 35R30 78A46 76Q05 35S15 35J25 65N80 PDF BibTeX XML Cite \textit{R. Kress}, in: Contemporary computational mathematics -- a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer. 721--740 (2018; Zbl 1407.65271) 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; Kress, Rainer Integral equation methods for the inverse obstacle problem with generalized impedance boundary condition. (English) Zbl 1302.65146 Inverse Probl. 29, No. 1, Article ID 015005, 19 p. (2013). MSC: 65J22 45Q05 65N21 78A46 PDF BibTeX XML Cite \textit{F. Cakoni} and \textit{R. Kress}, Inverse Probl. 29, No. 1, Article ID 015005, 19 p. (2013; Zbl 1302.65146) Full Text: DOI Link OpenURL
Kress, Rainer; Rundell, William Reconstruction of extended sources for the Helmholtz equation. (English) Zbl 1275.78004 Inverse Probl. 29, No. 3, 035005, 15 p. (2013). Reviewer: Jiguang Sun (Dover) MSC: 78A46 35R30 35J05 PDF BibTeX XML Cite \textit{R. Kress} and \textit{W. Rundell}, Inverse Probl. 29, No. 3, 035005, 15 p. (2013; Zbl 1275.78004) 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
Altundag, Ahmet; Kress, Rainer On a two-dimensional inverse scattering problem for a dielectric. (English) Zbl 1247.78016 Appl. Anal. 91, No. 4, 757-771 (2012). MSC: 78A46 PDF BibTeX XML Cite \textit{A. Altundag} and \textit{R. Kress}, Appl. Anal. 91, No. 4, 757--771 (2012; Zbl 1247.78016) 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
Delbary, Fabrice; Kress, Rainer Electrical impedance tomography using a point electrode inverse scheme for complete electrode data. (English) Zbl 1219.35354 Inverse Probl. Imaging 5, No. 2, 355-369 (2011). MSC: 35R30 92C55 65N21 78A70 PDF BibTeX XML Cite \textit{F. Delbary} and \textit{R. Kress}, Inverse Probl. Imaging 5, No. 2, 355--369 (2011; Zbl 1219.35354) Full Text: DOI OpenURL
Delbary, Fabrice; Kress, Rainer Electrical impedance tomography with point electrodes. (English) Zbl 1204.78016 J. Integral Equations Appl. 22, No. 2, 193-216 (2010). MSC: 78A55 45Q05 35R30 35J25 PDF BibTeX XML Cite \textit{F. Delbary} and \textit{R. Kress}, J. Integral Equations Appl. 22, No. 2, 193--216 (2010; Zbl 1204.78016) Full Text: DOI OpenURL
Haddar, Houssem; Kress, Rainer Conformal mapping and impedance tomography. (English) Zbl 1194.35500 Inverse Probl. 26, No. 7, Article ID 074002, 18 p. (2010). MSC: 35R30 78A46 30C30 30C20 45Q05 65N21 PDF BibTeX XML Cite \textit{H. Haddar} and \textit{R. Kress}, Inverse Probl. 26, No. 7, Article ID 074002, 18 p. (2010; Zbl 1194.35500) Full Text: DOI OpenURL
Ivanyshyn, Olha; Kress, Rainer Identification of sound-soft 3D obstacles from phaseless data. (English) Zbl 1220.35194 Inverse Probl. Imaging 4, No. 1, 131-149 (2010). MSC: 35R30 78A46 76Q05 65Z05 PDF BibTeX XML Cite \textit{O. Ivanyshyn} and \textit{R. Kress}, Inverse Probl. Imaging 4, No. 1, 131--149 (2010; Zbl 1220.35194) Full Text: DOI OpenURL
Kress, Rainer; Yaman, Fatih; Yapar, Ali; Akduman, Ibrahim Inverse scattering for an impedance cylinder buried in a dielectric cylinder. (English) Zbl 1172.78005 Inverse Probl. Sci. Eng. 17, No. 4, 473-488 (2009). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 78A46 45Q05 PDF BibTeX XML Cite \textit{R. Kress} et al., Inverse Probl. Sci. Eng. 17, No. 4, 473--488 (2009; Zbl 1172.78005) Full Text: DOI Link OpenURL
Ivanyshyn, O.; Kress, R. Inverse scattering for planar cracks via nonlinear integral equations. (English) Zbl 1153.65367 Math. Methods Appl. Sci. 31, No. 10, 1221-1232 (2008). MSC: 65N21 45G15 78A45 PDF BibTeX XML Cite \textit{O. Ivanyshyn} and \textit{R. Kress}, Math. Methods Appl. Sci. 31, No. 10, 1221--1232 (2008; Zbl 1153.65367) Full Text: DOI OpenURL
Delbary, Fabrice; Erhard, Klaus; Kress, Rainer; Potthast, Roland; Schulz, Jochen Inverse electromagnetic scattering in a two-layered medium with an application to mine detection. (English) Zbl 1137.78319 Inverse Probl. 24, No. 1, Article ID 015002, 18 p. (2008). MSC: 78A46 65D30 78A55 65N21 78A45 35A05 PDF BibTeX XML Cite \textit{F. Delbary} et al., Inverse Probl. 24, No. 1, Article ID 015002, 18 p. (2008; Zbl 1137.78319) Full Text: DOI OpenURL
Ivanyshyn, O.; Kress, R. Nonlinear integral equations in inverse obstacle scattering. (English) Zbl 1127.35078 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). 39-50 (2006). MSC: 35R30 35P25 45G10 65R32 74J20 76Q05 78A46 PDF BibTeX XML Cite \textit{O. Ivanyshyn} and \textit{R. Kress}, 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. 39--50 (2006; Zbl 1127.35078) OpenURL
Akduman, Ibrahim; Kress, Rainer; Yapar, Ali Iterative reconstruction of dielectric rough surface profiles at fixed frequency. (English) Zbl 1099.78006 Inverse Probl. 22, No. 3, 939-954 (2006). MSC: 78A46 35R30 35Q60 78M25 65J22 PDF BibTeX XML Cite \textit{I. Akduman} et al., Inverse Probl. 22, No. 3, 939--954 (2006; Zbl 1099.78006) Full Text: DOI OpenURL
Kress, Rainer; Serranho, Pedro A hybrid method for two-dimensional crack reconstruction. (English) Zbl 1070.35126 Inverse Probl. 21, No. 2, 773-784 (2005). MSC: 35R30 78A46 PDF BibTeX XML Cite \textit{R. Kress} and \textit{P. Serranho}, Inverse Probl. 21, No. 2, 773--784 (2005; Zbl 1070.35126) Full Text: DOI Link OpenURL
Haddar, Houssem; Kress, Rainer On the Fréchet derivative for obstacle scattering with an impedance boundary condition. (English) Zbl 1084.35103 SIAM J. Appl. Math. 65, No. 1, 194-208 (2004). MSC: 35Q60 35R30 45A05 78A46 35J05 PDF BibTeX XML Cite \textit{H. Haddar} and \textit{R. Kress}, SIAM J. Appl. Math. 65, No. 1, 194--208 (2004; Zbl 1084.35103) Full Text: DOI OpenURL
Kress, Rainer Uniqueness in inverse obstacle scattering. (English) Zbl 1060.35163 Bingham, Kenrick (ed.) et al., New analytic and geometric methods in inverse problems. Lectures given at the EMS summer school, Edinburgh, UK, July 24–August 2, 2000 and the conference on recent developments in the wave field and diffuse tomographic inverse problems, Edingurgh, UK, August 3–5, 2000. Berlin: Springer (ISBN 3-540-40682-4/hbk). 323-336 (2004). Reviewer: Ricardo Weder (México City) MSC: 35R30 78A46 35J05 35P25 35-02 PDF BibTeX XML Cite \textit{R. Kress}, in: New analytic and geometric methods in inverse problems. Lectures given at the EMS summer school, Edinburgh, UK, July 24--August 2, 2000 and the conference on recent developments in the wave field and diffuse tomographic inverse problems, Edinburgh, UK, August 3--5, 2000. Berlin: Springer. 323--336 (2004; Zbl 1060.35163) OpenURL
Kress, Rainer Newton’s method for inverse obstacle scattering meets the method of least squares. (English) Zbl 1052.65055 Inverse Probl. 19, No. 6, S91-S104 (2003). Reviewer: Robert Plato (Siegen) MSC: 65J15 65J20 65N21 65R30 35J05 35P25 47J06 78A46 78M25 PDF BibTeX XML Cite \textit{R. Kress}, Inverse Probl. 19, No. 6, S91--S104 (2003; Zbl 1052.65055) Full Text: DOI OpenURL
Kress, R. A factorization method for an inverse Neumann problem for harmonic vector fields. (English) Zbl 1048.31005 Georgian Math. J. 10, No. 3, 549-560 (2003). Reviewer: Gunther Schmidt (Berlin) MSC: 31B20 45Q05 31B10 45A05 78A30 PDF BibTeX XML Cite \textit{R. Kress}, Georgian Math. J. 10, No. 3, 549--560 (2003; Zbl 1048.31005) Full Text: EuDML OpenURL
Kress, Rainer; Lee, Kuo-Ming Integral equation methods for scattering from an impedance crack. (English) Zbl 1041.65094 J. Comput. Appl. Math. 161, No. 1, 161-177 (2003). Reviewer: Laura-Iulia Aniţa (Iaşi) MSC: 65N38 35J05 78A45 78M15 PDF BibTeX XML Cite \textit{R. Kress} and \textit{K.-M. Lee}, J. Comput. Appl. Math. 161, No. 1, 161--177 (2003; Zbl 1041.65094) Full Text: DOI OpenURL
Kress, R. A sampling method for an inverse boundary value problem for harmonic vector fields. (English) Zbl 1059.35170 Romanov, V. G. (ed.) et al., Ill-posed and inverse problems. Dedicated to Academician Mikhail Mikhailovich Lavrentiev on the occasion of his 70th birthday. Utrecht: VSP (ISBN 90-6764-362-9/hbk). 271-290 (2002). MSC: 35R30 78A46 35Q60 PDF BibTeX XML Cite \textit{R. Kress}, in: Ill-posed and inverse problems. Dedicated to Academician Mikhail Mikhailovich Lavrentiev on the occasion of his 70th birthday. Utrecht: VSP. 271--290 (2002; Zbl 1059.35170) OpenURL
Kress, Rainer; Kühn, Lars; Potthast, Roland Reconstruction of a current distribution from its magnetic field. (English) Zbl 1043.35147 Inverse Probl. 18, No. 4, 1127-1146 (2002). MSC: 35R30 35Q60 78A30 35J25 65N21 PDF BibTeX XML Cite \textit{R. Kress} et al., Inverse Probl. 18, No. 4, 1127--1146 (2002; Zbl 1043.35147) 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
Kress, Rainer; Rundell, William Inverse scattering for shape and impedance. (English) Zbl 0985.35109 Inverse Probl. 17, No. 4, 1075-1085 (2001). MSC: 35R30 35J05 35J25 78A46 PDF BibTeX XML Cite \textit{R. Kress} and \textit{W. Rundell}, Inverse Probl. 17, No. 4, 1075--1085 (2001; Zbl 0985.35109) Full Text: DOI OpenURL
Kress, Rainer Inverse obstacle scattering with modified or reduced data. (English) Zbl 0981.65127 Dassios, G. (ed.) et al., Scattering theory and biomedical engineering modelling and applications. Proceedings of the 4th international workshop, Perdika, Greece, October 8-10, 1999. Singapore: World Scientific. 10-18 (2000). MSC: 65N21 78A46 65J15 65J20 35J05 35R30 47J06 78M50 PDF BibTeX XML Cite \textit{R. Kress}, in: Scattering theory and biomedical engineering modelling and applications. Proceedings of the 4th international workshop, Perdika, Greece, October 8--10, 1999. Singapore: World Scientific. 10--18 (2000; Zbl 0981.65127) OpenURL
Hähner, Peter; Kress, Rainer Uniqueness for a linearized, inverse obstacle problem using backscattering data. (English) Zbl 0958.35093 Bermúdez, Alfredo (ed.) et al., Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10-14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 489-493 (2000). MSC: 35P25 35J05 78A46 35A05 PDF BibTeX XML Cite \textit{P. Hähner} and \textit{R. Kress}, in: Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10--14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics; Rocquencourt: INRIA, Institut National de Recherche en Informatique et en Automatique. 489--493 (2000; Zbl 0958.35093) OpenURL
Kress, Rainer Integral equation methods in inverse obstacle scattering. (English) Zbl 0966.65080 ANZIAM J. 42, No. 1, 65-78 (2000). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65N21 78A46 35J05 35R30 76Q05 65N38 PDF BibTeX XML Cite \textit{R. Kress}, ANZIAM J. 42, No. 1, 65--78 (2000; Zbl 0966.65080) Full Text: DOI OpenURL
Kress, Rainer Inverse obstacle scattering with modified or reduced data. (English) Zbl 0958.35151 ZAMM, Z. Angew. Math. Mech. 80, Suppl. 1, S229-S232 (2000). Reviewer: Gottfried Bruckner (Berlin) MSC: 35R30 35J05 78A46 PDF BibTeX XML Cite \textit{R. Kress}, ZAMM, Z. Angew. Math. Mech. 80, S229--S232 (2000; Zbl 0958.35151) OpenURL
Kress, Rainer Obstacle scattering as seen by R. K. and R. K. (English) Zbl 0961.65102 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, 165-175 (2000). MSC: 65N38 65-03 01A60 78A45 35J05 65N21 78A46 78M15 PDF BibTeX XML Cite \textit{R. Kress}, Chapman Hall/CRC Res. Notes Math. 417, 165--175 (2000; Zbl 0961.65102) OpenURL
Kress, Rainer Numerical methods in inverse obstacle scattering with reduced data. (English) Zbl 0940.65136 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. 34-43 (1998). MSC: 65N38 35J05 78A46 PDF BibTeX XML Cite \textit{R. Kress}, Proc. Appl. Math. 34--43, 34--43 (1998; Zbl 0940.65136) 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
Kress, Rainer Integral equation methods in inverse acoustic and electromagnetic scattering. (English) Zbl 0909.65096 Ingham, D. B. et al., Boundary integral formulations for inverse analysis. Southampton: CMP, Computational Mechanics Publications. Advances in Boundary Elements Series. 67-92 (1997). MSC: 65N38 35Q60 35Q35 35J05 78A45 76Q05 35R25 PDF BibTeX XML Cite \textit{R. Kress}, in: Boundary integral formulations for inverse analysis. Southampton: CMP, Computational Mechanics Publications. 67--92 (1997; Zbl 0909.65096) OpenURL
Kress, Rainer; Rundell, William Inverse obstacle scattering with modulus of the far field pattern as data. (English) Zbl 0880.65105 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. 75-92 (1997). MSC: 65Z05 78A45 35Q60 35R25 PDF BibTeX XML Cite \textit{R. Kress} and \textit{W. Rundell}, in: Inverse Problems in medical imaging and nondestructive testing. Proceedings of the conference in Oberwolfach, Germany, February 4--10, 1996. Wien: Springer. 75--92 (1997; Zbl 0880.65105) OpenURL
Gerlach, Thomas; Kress, Rainer Uniqueness in inverse obstacle scattering with conductive boundary condition. (English) Zbl 0868.35137 Inverse Probl. 12, No. 5, 619-625 (1996); corrigendum ibid. 12, 1075 (1996). Reviewer: Dang Dinh Ang (Ho Chi Minh City) MSC: 35R30 35P25 78A45 PDF BibTeX XML Cite \textit{T. Gerlach} and \textit{R. Kress}, Inverse Probl. 12, No. 5, 619--625 (1996; Zbl 0868.35137) Full Text: DOI 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
Kress, Rainer On the spectrum of the magnetostatic integral operator. (English) Zbl 0817.45001 Kleinman, Ralph E. (ed.) et al., Inverse scattering and potential problems in mathematical physics. Proceedings of the 13th conference held in Oberwolfach, Germany, December 12-18, 1993. Frankfurt a. Main: Peter Lang. Methoden Verfahren Math. Phys. 40, 95-105 (1995). MSC: 45C05 45P05 78A30 PDF BibTeX XML Cite \textit{R. Kress}, in: Inverse scattering and potential problems in mathematical physics. Proceedings of the 13th conference held in Oberwolfach, Germany, December 12-18, 1993. Frankfurt a. Main: Peter Lang. 95--105 (1995; Zbl 0817.45001) OpenURL
Kress, Rainer On uniqueness in inverse obstacle scattering. (English) Zbl 0799.35226 Päivärinta, L. (ed.) et al., Inverse problems in mathematical physics. Proceedings of the Lapland conference on inverse problems held at Saariselkä, Finland, 14-20 June 1992. Berlin: Springer-Verlag. Lect. Notes Phys. 422, 103-111 (1993). Reviewer: A.Kirsch (Erlangen) MSC: 35R30 35P25 78A45 35Q60 PDF BibTeX XML Cite \textit{R. Kress}, Lect. Notes Phys. 422, 103--111 (1993; Zbl 0799.35226) OpenURL
Kress, Rainer Inverse obstacle scattering. (English) Zbl 0799.35225 Anger, Gottfried (ed.) et al., Inverse problems: principles and applications in geophysics, technology, and medicine. Proceedings of the international conference held in Potsdam, Germany, August 30 - September 3, 1993. Berlin: Akademie Verlag. Math. Res. 74, 251-263 (1993). Reviewer: A.Kirsch (Erlangen) MSC: 35R30 35P25 78A45 PDF BibTeX XML Cite \textit{R. Kress}, in: Inverse problems: principles and applications in geophysics, technology, and medicine. Proceedings of the international conference held in Potsdam, Germany, August 30-September 3, 1993. Berlin: Akademie Verlag. 251--263 (1993; Zbl 0799.35225) OpenURL
Kirsch, Andreas; Kress, Rainer Uniqueness in inverse obstacle scattering. (English) Zbl 0787.35119 Inverse Probl. 9, No. 2, 285-299 (1993). Reviewer: V.Isakov (Wichita) MSC: 35R30 35P25 78A25 PDF BibTeX XML Cite \textit{A. Kirsch} and \textit{R. Kress}, Inverse Probl. 9, No. 2, 285--299 (1993; Zbl 0787.35119) 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
Kress, Rainer; Zinn, Axel Three dimensional reconstructions in inverse obstacle scattering. (English) Zbl 0762.65080 Mathematical methods in tomography, Proc. Conf., Oberwolfach/Germ. 1990, Lect. Notes Math. 1497, 112-125 (1991). Reviewer: O.Titow (Berlin) MSC: 65Z05 65N38 35Q60 78A45 35R25 35R30 PDF BibTeX XML Cite \textit{R. Kress} and \textit{A. Zinn}, Lect. Notes Math. 1497, 112--125 (1991; Zbl 0762.65080) 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; 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
Kirsch, Andreas; Kress, Rainer A numerical method for an inverse scattering problem. (English) Zbl 0629.65132 Inverse and ill-posed problems, Alpine-U.S. Semin. St. Wolfgang/Austria 1986, Notes Rep. Math. Sci. Eng. 4, 279-289 (1987). MSC: 65Z05 65N35 65R20 78A45 76Q05 35R30 35J05 35C15 PDF BibTeX XML OpenURL
Kress, Rainer On the boundary operator in electromagnetic scattering. (English) Zbl 0637.35066 Proc. R. Soc. Edinb., Sect. A 103, 91-98 (1986). Reviewer: Y.Prahalad MSC: 35P25 47A40 78A45 31B10 PDF BibTeX XML Cite \textit{R. Kress}, Proc. R. Soc. Edinb., Sect. A, Math. 103, 91--98 (1986; Zbl 0637.35066) Full Text: DOI OpenURL
Kress, Rainer On an exterior boundary value problem for the time harmonic Maxwell equations with boundary conditions for the normal components of the electric and magnetic field. (English) Zbl 0629.35103 Math. Methods Appl. Sci. 8, 77-92 (1986). Reviewer: R.Picard MSC: 35Q99 35J05 35J55 78A40 78A50 PDF BibTeX XML Cite \textit{R. Kress}, Math. Methods Appl. Sci. 8, 77--92 (1986; Zbl 0629.35103) Full Text: DOI OpenURL
Kirsch, Andreas; Kress, Rainer On an integral equation of the first kind in inverse acoustic scattering. (English) Zbl 0607.65089 Inverse problems, Proc. Conf., Oberwolfach/Ger. 1986, ISNM 77, 93-102 (1986). Reviewer: N.D.Sengupta MSC: 65R20 35J05 45E10 76Q05 78A45 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
Kress, Rainer Integralgleichungsmethoden bei direkten und inversen Randwertproblemen aus der Theorie akustischer und elektromagnetischer Schwingungen. (German) Zbl 0508.76092 Z. Angew. Math. Mech. 62, T241-T250 (1982). MSC: 76Q05 78A40 76M99 PDF BibTeX XML Cite \textit{R. Kress}, Z. Angew. Math. Mech. 62, T241--T250 (1982; Zbl 0508.76092) Full Text: DOI OpenURL
Engl, H. W.; Kress, Rainer Über ein singuläres Stoerungsproblem bei linearen Operatorgleichungen und das Grenzverhalten von Lösungen eines elektrostatischen Randwert- und Übergangsproblems. (German) Zbl 0481.45001 Z. Angew. Math. Mech. 61, T237-T238 (1981). MSC: 45B05 78A30 35Q99 35C15 45M99 45P05 PDF BibTeX XML Cite \textit{H. W. Engl} and \textit{R. Kress}, Z. Angew. Math. Mech. 61, T237--T238 (1981; Zbl 0481.45001) OpenURL
Engl, H. W.; Kress, Rainer A singular perturbation problem for linear operators with an application to electrostatic and magnetostatic boundary and transmission problems. (English) Zbl 0476.47011 Math. Methods Appl. Sci. 3, 249-274 (1981). MSC: 47A55 45B05 78A30 PDF BibTeX XML Cite \textit{H. W. Engl} and \textit{R. Kress}, Math. Methods Appl. Sci. 3, 249--274 (1981; Zbl 0476.47011) Full Text: DOI 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
Kress, Rainer On boundary integral equation methods in stationary electromagnetic reflection. (English) Zbl 0465.65065 Ordinary and partial differential equations, Proc. 6th Conf. Dundee 1980, Lect. Notes Math. 846, 210-226 (1981). MSC: 65Z05 65N35 35J05 78A25 35Q99 35C15 PDF BibTeX XML OpenURL
Knauff, Werner; Kress, Rainer A modified integral equation method for the electric boundary-value problem for the vector Helmholtz equation. (English) Zbl 0456.65067 Numerische Behandlung von Integralgleichungen, Tag. Oberwolfach 1979, ISNM 53, 157-170 (1980). MSC: 65Z05 35J05 65R20 76Q05 78A50 65N35 PDF BibTeX XML OpenURL
Kress, Rainer On the existence of a solution to a singular integral equation in electromagnetic reflection. (English) Zbl 0448.45002 J. Math. Anal. Appl. 77, 555-566 (1980). MSC: 45F15 78A45 35J05 35C15 PDF BibTeX XML Cite \textit{R. Kress}, J. Math. Anal. Appl. 77, 555--566 (1980; Zbl 0448.45002) Full Text: DOI OpenURL
Kress, Rainer Integral equation methods for boundary value problems in electromagnetism. (English) Zbl 0434.45017 A.M.I. Lecture Notes No. 6. Newark, Delaware: University of Delaware, Applied Mathematics Institute. 56 p. (1979). MSC: 45P05 45B05 35C15 35J05 78A25 PDF BibTeX XML OpenURL
Knauff, Werner; Kress, Rainer On the exterior boundary-value problem for the time-harmonic Maxwell equations. (English) Zbl 0424.35031 J. Math. Anal. Appl. 72, 215-235 (1979). MSC: 35J05 78A25 47A53 PDF BibTeX XML Cite \textit{W. Knauff} and \textit{R. Kress}, J. Math. Anal. Appl. 72, 215--235 (1979; Zbl 0424.35031) Full Text: DOI OpenURL