A modified integral equation method of the nonlinear elliptic equation with globally and locally Lipschitz source

DOI10.1016/J.AMC.2015.03.115zbMath1410.35282arXiv1408.2454OpenAlexW2233745246MaRDI QIDQ1664205

Le Duc Thang, Vo Anh Khoa, Nguyen Huy Tuan

Publication date: 24 August 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.2454

zbMATH Keywords

error estimatesCauchy problemnonlinear elliptic equationill-posed problem

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Fixed-point theorems (47H10) Ill-posed problems for PDEs (35R25) Nonlinear ill-posed problems (47J06) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Semilinear elliptic equations (35J61)

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Cites Work

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• A non-local boundary value problem method for the Cauchy problem for elliptic equations
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• Approximate solution of a Cauchy problem for the Helmholtz equation
• A stability estimate for a Cauchy problem for an elliptic partial differential equation

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