Regularization of the semilinear sideways heat equation

DOI10.1093/IMAMAT/HXY058zbMath1471.80004OpenAlexW2898241662WikidataQ129129370 ScholiaQ129129370MaRDI QIDQ5009222

Tran Quoc Viet, Vo Van Au, Nguyen Huy Tuan, Daniel Lesnic

Publication date: 19 August 2021

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/hxy058

zbMATH Keywords

Cauchy problemcontraction principlenonlinear heat equationregularization methodill-posed problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) A priori estimates in context of PDEs (35B45) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

Related Items (4)

Simultaneous determination of the space-dependent source and initial value for a two-dimensional heat conduction equation ⋮ Regularized solution of an ill-posed biharmonic equation ⋮ A two-dimensional sideways problem with random discrete data ⋮ Regularization of an initial inverse problem for a biharmonic equation

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