On reconstruction of a source term depending on time and space variables in a parabolic mixed problem

DOI10.1007/s00009-016-0761-1zbMath1349.35428OpenAlexW2466508575MaRDI QIDQ346933

Davide Guidetti

Publication date: 30 November 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-016-0761-1

zbMATH Keywords

inverse problemsmaximal regularitymixed parabolic systemsreconstruction of source term

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Inverse problems for PDEs (35R30)

Cites Work

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• Partial reconstruction of the source term in a linear parabolic initial problem with Dirichlet boundary conditions
• Asymptotics of solutions of the heat equation in cones and dihedra under minimal assumptions on the boundary
• Abstract elliptic and parabolic systems with applications to problems in cylindrical domains
• On interpolation with boundary conditions
• Simultaneous determination of source terms in a linear parabolic problem from the final overdetermination: weak solution approach
• Partial reconstruction of the source term in a linear parabolic initial value problem
• Semigroups of linear operators and applications to partial differential equations
• Fredholm-type results for integrodifferential identification parabolic problems
• Generation of analytic semigroups by elliptic operators with Dirichlet boundary conditions in a cylindrical domain
• Un'applicazione della teoria degli integrali singolari allo studio delle equazioni differenziali lineari astratte del primo ordine
• Determination of an unknown non-homogeneous term in a linear partial differential equation .from overspecified boundary data
• Partial reconstruction of the source term in a linear parabolic initial problem with first order boundary conditions
• Explicit representation for the solution to a parabolic differential identification problem in a Banach space
• On the regularity of the solution of the Poisson problem on a domain with boundary locally similar to the boundary of a convex open set
• Analytic semigroups and optimal regularity in parabolic problems
• Inverse problems for partial differential equations