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
2016-01-01
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.File in questo prodotto:
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