On a Noisy Operator Equation and the Identification of Point-Sources in the 1-D Wave Equation

DOI<link itemprop=identifier href="https://doi.org/10.1002/1521-4001(200006)80:6<377::AID-ZAMM377>3.0.CO;2-U" /><377::AID-ZAMM377>3.0.CO;2-U 10.1002/1521-4001(200006)80:6<377::AID-ZAMM377>3.0.CO;2-UzbMath0964.65056OpenAlexW1999759880MaRDI QIDQ4508659

Gottfried Bruckner, Masahiro Yamamoto

Publication date: 27 February 2001

Full work available at URL: https://doi.org/10.1002/1521-4001(200006)80:6<377::aid-zamm377>3.0.co;2-u

zbMATH Keywords

wave equationinverse problemerror estimatesregularizationBanach spaceill-posed problemlinear operator equationnoisy right-hand sidepoint source reconstructionuncertain operator

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Wave equation (35L05) Numerical solutions to equations with linear operators (65J10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Linear operators and ill-posed problems, regularization (47A52)

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