A Nonlinearly Ill-Posed Problem of Reconstructing the Temperature from Interior Data

DOI10.1080/01630560802000983zbMath1154.47056arXiv0705.3357OpenAlexW2964209059MaRDI QIDQ3506293

Pham Hoang Quan, Dang Duc Trong, Pham Ngoc Dinh, Alain

Publication date: 12 June 2008

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

Full work available at URL: https://arxiv.org/abs/0705.3357

zbMATH Keywords

Fourier transformcontraction principleill-posed problemselliptic equation

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Nonlinear elliptic equations (35J60) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Applications of operator theory to differential and integral equations (47N20) Nonlinear ill-posed problems (47J06)

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• Regularization for a class of ill-posed Cauchy problems
• A mixed formulation of quasi-reversibility to solve the Cauchy problem for Laplace's equation
• A nonlinearly backward heat problem: uniqueness, regularization and error estimate

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