Reconstruction of an unknown source parameter in a semilinear parabolic problem

DOI10.1016/j.cam.2014.12.027zbMath1316.47061OpenAlexW2063003280MaRDI QIDQ2352323

Marijke Grimmonprez, Marián Slodička

Publication date: 30 June 2015

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

Full work available at URL: https://doi.org/10.1016/j.cam.2014.12.027

zbMATH Keywords

semilinear parabolic equationinverse source problem

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Nonlinear evolution equations (47J35) Semilinear parabolic equations (35K58)

Related Items (7)

A solely time-dependent source reconstruction in a multiterm time-fractional order diffusion equation with non-smooth solutions ⋮ Finite element method for the reconstruction of a time-dependent heat source in isotropic thermoelasticity systems of type-III ⋮ Existence of a unique weak solution to a non-autonomous time-fractional diffusion equation with space-dependent variable order ⋮ The reconstruction of a solely time-dependent load in a simply supported non-homogeneous Euler-Bernoulli beam ⋮ Recovery of a time-dependent heat source in one-dimensional thermoelasticity of type-III ⋮ Error estimates for the full discretization of a semilinear parabolic problem with an unknown source ⋮ Identification of an unknown spatial load distribution in a vibrating beam or plate from the final state

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