Quasilinear systems with memory kernels

DOI10.1016/J.JMAA.2005.01.012zbMath1098.45008OpenAlexW2005597208MaRDI QIDQ2568942

Fabrizio Colombo

Publication date: 17 October 2005

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.01.012

zbMATH Keywords

inverse problemsidentification problemphase-field model with memoryfixed point argumentsoptimal regularity resultscombustion of a material with memoryquasilinear integrodifferential system in non-normal formtheory of analytic semigroups

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Systems of nonlinear integral equations (45G15) Abstract integral equations, integral equations in abstract spaces (45N05) Singular nonlinear integral equations (45G05) Inverse problems for integral equations (45Q05)

Related Items (6)

A GLOBAL IN TIME EXISTENCE AND UNIQUENESS RESULT FOR A SEMILINEAR INTEGRODIFFERENTIAL PARABOLIC INVERSE PROBLEM IN SOBOLEV SPACES ⋮ An inverse problem for a parabolic integrodifferential model in the theory of combustion ⋮ A global in time existence and uniqueness result for an integrodifferential hyperbolic inverse problem with memory effect ⋮ Local solvability of an inverse problem to the Navier–Stokes equation with memory term ⋮ 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

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• On the abstract Cauchy problem of parabolic type in spaces of continuous functions
• An analysis of a phase field model of a free boundary
• Construction of a class of integral models for heat flow in materials with memory
• Identification of time and space dependent relaxation kernels for materials with memory related to cylindrical domains. I
• Global smooth solution to the standard phase-field model with memory
• Well-posedness of the weak formulation for the phase-field model with memory
• An inverse problem in the theory of combustion of materials with memory
• An identification problem related to a parabolic integrodifferential equation with non commuting spatial operators
• An inverse problem in the theory of materials with memory
• Convergence of the phase field model to its sharp interface limits
• Stefan and Hele-Shaw type models as asymptotic limits of the phase-field equations
• Uniform attractors for a phase-field model with memory and quadratic nonlinearity
• Generation of Analytic Semigroups by Strongly Elliptic Operators
• Analytic semigroups and optimal regularity in parabolic problems
• Direct and inverse problems for a phase-field model with memory

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