On the stability estimation of analytic continuation for potential field

DOI10.1007/BF02453412zbMath0916.35015OpenAlexW1992182219MaRDI QIDQ1271733

Dinghua Xu, Jin Cheng, Ming-Zhong Li

Publication date: 10 November 1998

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02453412

zbMATH Keywords

Cauchy problems for Laplace equationsstability estimations of weighted Hölder type

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Continuation and prolongation of solutions to PDEs (35B60)

Cites Work

• Conditional stability in determination of force terms of heat equations in a rectangle
• Uniqueness in Cauchy problems for differential equations with constant leading coefficients
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