Sharp estimates for approximations to a nonlinear backward heat equation

DOI10.1016/J.NA.2010.06.002zbMath1200.35317OpenAlexW1990619331MaRDI QIDQ708687

Dang Duc Trong, Nguyen Huy Tuan

Publication date: 14 October 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.2010.06.002

zbMATH Keywords

error estimateill-posed problemtruncation methodbackward heat problem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Heat equation (35K05) Ill-posed problems for PDEs (35R25) Theoretical approximation in context of PDEs (35A35) Nonlinear ill-posed problems (47J06)

Related Items (7)

Inverse problem for nonlinear backward space-fractional diffusion equation ⋮ Backward semi-linear parabolic equations with time-dependent coefficients and local Lipschitz source ⋮ Terminal value problem for nonlinear parabolic and pseudo-parabolic systems ⋮ A new Fourier truncated regularization method for semilinear backward parabolic problems ⋮ The backward problem for a nonlinear Riesz-Feller diffusion equation ⋮ Stepwise regularization method for a nonlinear Riesz-Feller space-fractional backward diffusion problem ⋮ An improved regularization method for initial inverse problem in 2-D heat equation

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