Solving forward and inverse problems involving a nonlinear three-dimensional partial differential equation via asymptotic expansions

DOI10.1093/IMAMAT/HXAD021arXiv2210.05220MaRDI QIDQ6150122

Publication date: 5 March 2024

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

Full work available at URL: https://arxiv.org/abs/2210.05220

zbMATH Keywords

convergence regularization asymptotic expansion inverse source problem reaction-diffusion-advection equation singular perturbed partial differential equation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Asymptotic expansions of solutions to PDEs (35C20) Semilinear parabolic equations (35K58)

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