Regularization and error estimate for the nonlinear backward heat problem using a method of integral equation

DOI10.1016/j.na.2009.02.092zbMath1172.35517OpenAlexW2092266483MaRDI QIDQ1029456

Dang Duc Trong, Nguyen Huy Tuan

Publication date: 10 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.02.092

zbMATH Keywords

backward heat problemquasi-boundary value methodsnonlinearly ill-posed problemquasi-reversibility methods

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) A priori estimates in context of PDEs (35B45) Theoretical approximation in context of PDEs (35A35)

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• The Approximation of Certain Parabolic Equations Backward in Time by Sobolev Equations
• Approximation of a parabolic non-linear evolution equation backwards in time
• A nonlinearly backward heat problem: uniqueness, regularization and error estimate
• Quasi-boundary value method for non-well posed problem for a parabolic equation with integral boundary condition

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