Quasi-reversibility methods of optimal control for ill-posed final value diffusion equations

DOI10.1016/J.JMAA.2022.126618zbMath1498.35609OpenAlexW4292379786MaRDI QIDQ2079555

Mahamadi Warma, Gisèle M. Mophou

Publication date: 30 September 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126618

zbMATH Keywords

existence of solutionsconvergence rateoptimal control problemsill-posed Cauchy problemsapproximated problemsquasi reversibility methods

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Abstract parabolic equations (35K90) Ill-posed problems for PDEs (35R25) Initial value problems for second-order parabolic equations (35K15) PDEs in connection with control and optimization (35Q93)

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Cites Work

• Unnamed Item
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• Hitchhiker's guide to the fractional Sobolev spaces
• Fractional Laplacians on domains, a development of Hörmander's theory of \(\mu\)-transmission pseudodifferential operators
• A modified quasi-boundary value method for ill-posed problems
• Mountain pass solutions for non-local elliptic operators
• Semigroups of linear operators and applications to partial differential equations
• The final value problem for evolution equations
• The Laplacian with Robin boundary conditions on arbitrary domains
• Dirichlet and Neumann boundary conditions: what is in between?
• Control of ill- posed systems of elliptic type
• A modified quasi-boundary value method for a two-dimensional inverse heat conduction problem
• Realization of the fractional Laplacian with nonlocal exterior conditions via forms method
• The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets
• Control of Cauchy system for an elliptic operator
• A modified quasi-boundary value method for the backward time-fractional diffusion problem
• Analysis of a Quasi-Reversibility Method for a Terminal Value Quasi-Linear Parabolic Problem with Measurements
• Constructing a variational quasi‐reversibility method for a Cauchy problem for elliptic equations
• Identification of the population density of a species model with nonlocal diffusion and nonlinear reaction

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