Backward heat equations with locally lipschitz source

DOI10.1080/00036811.2014.963063zbMath1331.35393OpenAlexW2078221892WikidataQ58298281 ScholiaQ58298281MaRDI QIDQ3195554

Bui Thanh Duy, Mach Nguyet Minh, Dang Duc Trong

Publication date: 20 October 2015

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

Full work available at URL: https://doi.org/10.1080/00036811.2014.963063

zbMATH Keywords

Fourier transformbackward heat problemquasi-boundary value methodsnonlinearly ill-posed problem

Mathematics Subject Classification ID

Heat equation (35K05) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Transform methods (e.g., integral transforms) applied to PDEs (35A22)

Related Items (9)

Backward semi-linear parabolic equations with time-dependent coefficients and local Lipschitz source ⋮ Stability Results for Backward Nonlinear Diffusion Equations with Temporal Coupling Operator of Local and Nonlocal Type ⋮ Stability of solutions of a class of nonlinear fractional Laplacian parabolic problems ⋮ Backward heat equation with time dependent variable coefficient ⋮ Global solution of space-fractional diffusion equations with nonlinear reaction source terms ⋮ Filter regularization method for a nonlinear Riesz-Feller space-fractional backward diffusion problem with temporally dependent thermal conductivity ⋮ Stability results for weak solutions to backward one-dimensional semi-linear parabolic equations with locally Lipschitz source ⋮ Regularized solution of the Cauchy problem for the biharmonic equation ⋮ On the backward problem for parabolic equations with memory

Cites Work

• Unnamed Item
• A modified quasi-boundary value method for ill-posed problems
• Continuous dependence on modeling for nonlinear ill-posed problems
• An approximate solution for nonlinear backward parabolic equations
• On a backward parabolic problem with local Lipschitz source
• A nonlinear case of the 1-D backward heat problem: regularization and error estimate
• Structural stability for ill-posed problems in Banach space
• Some backward uniqueness results
• Regularization for a class of ill-posed Cauchy problems
• A nonlinearly backward heat problem: uniqueness, regularization and error estimate

This page was built for publication: Backward heat equations with locally lipschitz source