Stability of the solution of the Cauchy problem for the Laplace equation on a weak compactum

DOI10.1007/BF01128306zbMath0715.47012OpenAlexW1980766382MaRDI QIDQ752436

Yu. L. Gaponenko

Publication date: 1990

Published in: Computational Mathematics and Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01128306

zbMATH Keywords

modulus of continuityweakly compact setCauchy problem for the Laplace equationHeine-Borel theoremcompact linear invertible operator

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Linear operators on function spaces (general) (47B38) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Cites Work

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• Method of contracting compacta for solving non-linear ill-posed problems

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