Global in time results for a class of inverse problems

DOI10.1515/JIIP.2009.019zbMath1180.45009MaRDI QIDQ3632732

Fabrizio Colombo

Publication date: 12 June 2009

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

zbMATH Keywords

inverse problemparabolic equationmemoryglobal in time existence and uniqueness resultstrongly damped semilinear wave equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10) Abstract integral equations, integral equations in abstract spaces (45N05) Inverse problems in thermodynamics and heat transfer (80A23) Inverse problems for integral equations (45Q05)

Cites Work

• Simultaneous determination of source terms in a linear parabolic problem from the final overdetermination: weak solution approach
• Identification of time and space dependent relaxation kernels for materials with memory related to cylindrical domains. I
• Identification of time and space dependent relaxation kernels for materials with memory related to cylindrical domains. II
• An inverse problem for a parabolic integrodifferential model in the theory of combustion
• A parabolic integro-differential identification problem in a barrelled smooth domain
• Memory Driven Instability in a Diffusion Process
• An Inverse Problem for a Phase-field Model in Sobolev Spaces
• Smooth attractors for strongly damped wave equations
• QUALITATIVE ANALYSIS OF SEMILINEAR CATTANEO EQUATIONS
• A GLOBAL IN TIME EXISTENCE AND UNIQUENESS RESULT FOR A SEMILINEAR INTEGRODIFFERENTIAL PARABOLIC INVERSE PROBLEM IN SOBOLEV SPACES
• An inverse problem for the strongly damped wave equation with memory
• Identification of two memory kernels and the time dependence of the heat source for a parabolic conserved phase‐field model
• Direct and inverse problems for a phase-field model with memory

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