An identification problem for a linear evolution equation in a Banach space and applications

DOI10.3934/dcdss.2011.4.671zbMath1217.35213OpenAlexW2327157862MaRDI QIDQ631315

Ioan I. Vrabie, Alfredo Lorenzi

Publication date: 22 March 2011

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2011.4.671

zbMATH Keywords

heat equationwave equationidentification problemrepresentation formulafirst-order linear differential equation\(C_0\)-semigroup of contractionsunknown right-hand side

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (3)

An identification problem for a nonlinear evolution equation in a Banach space ⋮ Inverse problems for a parabolic integrodifferential equation in a convolutional weak form ⋮ Convergence rates for solutions of inhomogeneous ill-posed problems in Banach space with sufficiently smooth data

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