A backward nonlinear heat equation: regularization with error estimates

DOI10.1080/00036810500047915zbMath1068.35050OpenAlexW2043873742WikidataQ58256379 ScholiaQ58256379MaRDI QIDQ5460674

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Publication date: 18 July 2005

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

Full work available at URL: https://doi.org/10.1080/00036810500047915

zbMATH Keywords

uniquenessfinite-dimensional approximations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Ill-posed problems for PDEs (35R25) Theoretical approximation in context of PDEs (35A35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (6)

Stability of solutions of a class of nonlinear fractional Laplacian parabolic problems ⋮ A modified integral equation method of the semilinear backward heat problem ⋮ A nonlinear case of the 1-D backward heat problem: regularization and error estimate ⋮ An approximate solution for nonlinear backward parabolic equations ⋮ Sharp estimates for approximations to a nonlinear backward heat equation ⋮ A nonlinearly backward heat problem: uniqueness, regularization and error estimate

Cites Work

• Stabilized approximate solutions of the inverse time problem for a parabolic evolution equation
• Geometric theory of semilinear parabolic equations
• Unique continuation for parabolic differential equations and inequalities
• Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
• On the asymptotic order of accuracy of Tikhonov regularization

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