A nonlinearly backward heat problem: uniqueness, regularization and error estimate

DOI10.1080/00036810500474671zbMath1099.35045OpenAlexW2090844158MaRDI QIDQ5481694

Pham Hoang Quan, Dang Duc Trong

Publication date: 10 August 2006

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810500474671

zbMATH Keywords

Fourier transformscontraction principlenonlinearly ill-posed problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Fixed-point theorems (47H10) Ill-posed problems for PDEs (35R25) Nonlinear ill-posed problems (47J06) Initial value problems for second-order parabolic equations (35K15)

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• Structural stability for ill-posed problems in Banach space
• Continuous dependence on modelling and non-existence results for a Ginzburg-Landau equation
• A backward nonlinear heat equation: regularization with error estimates