On a backward Cauchy problem associated with continuous spectrum operator

DOI10.1016/j.na.2010.05.025zbMath1197.35306OpenAlexW2013748155MaRDI QIDQ988844

Nguyen Huy Tuan, Pham Hoang Quan, Dang Duc Trong

Publication date: 19 August 2010

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.2010.05.025

zbMATH Keywords

contraction principleill-posed problemnonlinear parabolic problembackward problemsemigroup of operator

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Fixed-point theorems (47H10) Ill-posed problems for PDEs (35R25) Nonlinear ill-posed problems (47J06)

Related Items (6)

Terminal value problem for nonlinear parabolic and pseudo-parabolic systems ⋮ Quasi-Reversibility Method for an Ill-Posed Nonhomogeneous Parabolic Problem ⋮ A new Fourier truncated regularization method for semilinear backward parabolic problems ⋮ On the regularization of solution of an inverse ultraparabolic equation associated with perturbed final data ⋮ Truncated spectral regularization for an ill-posed non-linear parabolic problem ⋮ Improved regularization method for backward Cauchy problems associated with continuous spectrum operator

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• A nonlinear case of the 1-D backward heat problem: regularization and error estimate
• A modified quasi-boundary value method for a class of abstract parabolic ill-posed problems
• Structural stability for ill-posed problems in Banach space

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