Hölder stability for a class of initial inverse nonlinear heat problem in multiple dimension

DOI10.1016/j.cnsns.2014.10.027zbMath1440.35346OpenAlexW2083875321MaRDI QIDQ727070

Vo Anh Khoa, Nguyen Huy Tuan, Bui Thanh Duy, Nguyen Dang Minh

Publication date: 6 December 2016

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2014.10.027

zbMATH Keywords

backward heat problemquasi-boundary value methodsnonlinearly ill-posed problemquasi-reversibility methods

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Ill-posed problems for PDEs (35R25) Inverse problems in thermodynamics and heat transfer (80A23) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

Related Items (3)

Analysis of a Quasi-Reversibility Method for a Terminal Value Quasi-Linear Parabolic Problem with Measurements ⋮ A note on the derivation of filter regularization operators for nonlinear evolution equations ⋮ An asymmetric backward problem for the inhomogeneous parabolic equation with time-dependent diffusivity

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