Conditional Stability Estimates and Regularization with Applications to Cauchy Problems for the Helmholtz Equation

DOI10.1080/01630560903393170zbMath1181.47009OpenAlexW2084226283MaRDI QIDQ3405623

Teresa Regińska, Ulrich Tautenhahn

Publication date: 10 February 2010

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560903393170

zbMATH Keywords

inverse problemsmodulus of continuityill-posed problemsregularisationworst case errorstability estimatesCauchy problem for the Helmholtz equation

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Ill-posed problems for PDEs (35R25) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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