Partial reconstruction of the source term in a linear parabolic initial problem with first order boundary conditions

DOI10.1080/00036811.2013.786043zbMath1290.35327OpenAlexW1997158416MaRDI QIDQ5417855

Davide Guidetti

Publication date: 22 May 2014

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

Full work available at URL: https://doi.org/10.1080/00036811.2013.786043

zbMATH Keywords

inverse problemsparabolic systemscylindrical domainsfirst-order boundary conditions

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Inverse problems for functional-differential equations (34K29) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (2)

On approximation of coefficient inverse problems for differential equations in functional spaces ⋮ On reconstruction of a source term depending on time and space variables in a parabolic mixed problem

Cites Work

• 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
• On real interpolation, finite differences, and estimates depending on a parameter for discretizations of elliptic boundary value problems
• Determination of an unknown non-homogeneous term in a linear partial differential equation .from overspecified boundary data
• The mixed Cauchy-Dirichlet problem for the heat equation in a plane angle in spaces of Hölder-continuous functions

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