Transform operators in a two-dimensional inverse problem for a finite domain

DOI10.1007/BF02434001zbMath0902.45003MaRDI QIDQ1376846

Alexander Starkov

Publication date: 20 April 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

inverse problemsHelmholtz equationsystem of Gelfand-Levitan type integral equationstransform operator method

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Inverse problems for PDEs (35R30) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• Unnamed Item
• Construction of a two-dimensional Schrödinger operator with given scattering amplitude at fixed energy
• A Multidimensional Inverse-Scattering Method

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