A total variation regularization method for an inverse problem of recovering an unknown diffusion coefficient in a parabolic equation
DOI10.1080/17415977.2020.1725502zbMath1475.65108OpenAlexW3007577069MaRDI QIDQ4991528
Publication date: 3 June 2021
Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17415977.2020.1725502
Numerical computation of solutions to systems of equations (65H10) Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) A priori estimates in context of PDEs (35B45) Existence theories for optimal control problems involving partial differential equations (49J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Regularization by noise (60H50)
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