On the Mathematical Basis of the Linear Sampling Method
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| 024 | 7 | 0 | |a 10.1515/GMJ.2003.411 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/GMJ.2003.411 | ||
| 245 | 0 | 0 | |a On the Mathematical Basis of the Linear Sampling Method |h [Elektronische Daten] |c [Fioralba Cakoni, David Colton] |
| 520 | 3 | |a The linear sampling method is an algorithm for solving the inverse scattering problem for acoustic and electromagnetic waves. The method is based on showing that a linear integral equation of first kind has a solution that becomes unbounded as a parameter approaches the boundary of the scatterer from inside . However, except for the case of the transmission problem, the case where z is in the exterior of is unresolved. Since for the inverse scattering problem is unknown, this step is crucial for the mathematical justification of the linear sampling method. In this paper we give a mathematical justification of the linear sampling method for arbitrary by using the theory of integral equations of first kind with singular kernels. | |
| 540 | |a © Heldermann Verlag | ||
| 690 | 7 | |a Inverse scattering |2 nationallicence | |
| 690 | 7 | |a mixed boundary conditions |2 nationallicence | |
| 690 | 7 | |a linear sampling method |2 nationallicence | |
| 690 | 7 | |a inhomogeneous media |2 nationallicence | |
| 700 | 1 | |a Cakoni |D Fioralba |u Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA. E-mail: cakoni@math.udel.edu |4 aut | |
| 700 | 1 | |a Colton |D David |u Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA. E-mail: colton@math.udel.edu |4 aut | |
| 773 | 0 | |t Georgian Mathematical Journal |d Walter de Gruyter GmbH & Co. KG |g 10/3(2003-09), 411-425 |x 1072-947X |q 10:3<411 |1 2003 |2 10 |o GMJ | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/GMJ.2003.411 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/GMJ.2003.411 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Cakoni |D Fioralba |u Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA. E-mail: cakoni@math.udel.edu |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Colton |D David |u Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA. E-mail: colton@math.udel.edu |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Georgian Mathematical Journal |d Walter de Gruyter GmbH & Co. KG |g 10/3(2003-09), 411-425 |x 1072-947X |q 10:3<411 |1 2003 |2 10 |o GMJ | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||