Inverse heat source problem from time distributing overdetermination

DOI10.1080/00036810802713958zbMath1183.35274OpenAlexW2078822537WikidataQ58246716 ScholiaQ58246716MaRDI QIDQ3391816

Kenichi Sakamoto, Masahiro Yamamoto

Publication date: 13 August 2009

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810802713958

zbMATH Keywords

Fredholm integral equationswell-posednessanalytic perturbationsinverse heat source problemtime distributing observation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Inverse problems for PDEs (35R30) Perturbation theory of linear operators (47A55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Fredholm integral equations (45B05)

Related Items (8)

An inverse source problem for a one-dimensional space–time fractional diffusion equation ⋮ On approximation of coefficient inverse problems for differential equations in functional spaces ⋮ Two fractional regularization methods for identifying the radiogenic source of the helium production-diffusion equation ⋮ Abstract fractional inverse source problem of order \(0<\alpha <1\) in a Banach space ⋮ Solving the backward problem for time-fractional wave equations by the quasi-reversibility regularization method ⋮ Approximate solution of inverse problem for elliptic equation with overdetermination ⋮ Two-dimensional parabolic inverse source problem with final overdetermination in reproducing kernel space ⋮ On stability and regularization for data-driven solution of parabolic inverse source problems

Cites Work

• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• Inverse parabolic problems with the final overdetermination
• Generic well-posedness of a linear inverse parabolic problem with diffusion parameters
• Generic well-posedness of an inverse parabolic problem - the Hölder-space approach

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