Direct and inverse problems for a phase-field model with memory

DOI10.1006/JMAA.2001.7475zbMath0987.45006OpenAlexW2065651204MaRDI QIDQ5945106

Fabrizio Colombo

Publication date: 9 June 2002

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

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7475

zbMATH Keywords

inverse problemsBanach spacenonlinear identification problemphase field semilinear integrodifferential modelphase-field model with memory

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Stefan problems, phase changes, etc. (80A22) Systems of nonlinear integral equations (45G15) Inverse problems for integral equations (45Q05)

Related Items (9)

A GLOBAL IN TIME EXISTENCE AND UNIQUENESS RESULT FOR A SEMILINEAR INTEGRODIFFERENTIAL PARABOLIC INVERSE PROBLEM IN SOBOLEV SPACES ⋮ Identification of two memory kernels in a fully hyperbolic phase-field system ⋮ An inverse problem for a parabolic integrodifferential model in the theory of combustion ⋮ A mixed type identification problem related to a phase-field model with memory ⋮ Global in time results for a class of inverse problems ⋮ Local solvability of an inverse problem to the Navier–Stokes equation with memory term ⋮ Quasilinear systems with memory kernels ⋮ A local in time existence and uniqueness result of an inverse problem for the Kelvin-Voigt fluids ⋮ An inverse problem for a linearized model in the theory of combustion

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