A NONLINEAR BACKWARD PARABOLIC PROBLEM: REGULARIZATION BY QUASI-REVERSIBILITY AND ERROR ESTIMATES

DOI10.1142/S1793557111000125zbMath1223.35186MaRDI QIDQ3084672

Dang Duc Trong, Nguyen do Minh Nhat, Pham Hoang Quan, Nguyen Huy Tuan

Publication date: 25 March 2011

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

quasi-reversibility methodregularized probleminverse time problem

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Heat equation (35K05) Ill-posed problems for PDEs (35R25) Nonlinear ill-posed problems (47J06) Parabolic equations and parabolic systems (35K99) Semilinear parabolic equations (35K58)

Cites Work

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• A non-local boundary value problem method for parabolic equations backward in time
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• Zur Regularisierung einer Klasse nichtkorrekter Probleme bei Evolutionsgleichungen. (On the regularization of a certain class of improperly posed problems for evolution equations)
• Approximation of a parabolic non-linear evolution equation backwards in time
• Regularization for a class of ill-posed Cauchy problems
• A nonlinearly backward heat problem: uniqueness, regularization and error estimate

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