The nonclassical diffusion equation with hereditary memory (Formula presented.) a 3D bounded domain is considered, for a very general class of memory kernels (Formula presented.). Setting the problem both in the classical past history framework and in the more recent minimal state one, the related solution semigroups are shown to possess finite-dimensional regular exponential attractors.

A Remark on Nonclassical Diffusion Equations with Memory

CONTI, MONICA;MARCHINI, ELSA MARIA
2016

Abstract

The nonclassical diffusion equation with hereditary memory (Formula presented.) a 3D bounded domain is considered, for a very general class of memory kernels (Formula presented.). Setting the problem both in the classical past history framework and in the more recent minimal state one, the related solution semigroups are shown to possess finite-dimensional regular exponential attractors.
Applied Mathematics; Control and Optimization
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1007395
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