We consider a nonclassical diffusion equation with hereditary memory on a bounded three-dimensional domain. Setting the problem in the past history framework, and with very general assumptions on the memory kernel, we prove that the related solution semigroup possesses a global attractor of optimal regularity.
Nonclassical diffusion with memory
CONTI, MONICA;MARCHINI, ELSA MARIA;PATA, VITTORINO
2015-01-01
Abstract
We consider a nonclassical diffusion equation with hereditary memory on a bounded three-dimensional domain. Setting the problem in the past history framework, and with very general assumptions on the memory kernel, we prove that the related solution semigroup possesses a global attractor of optimal regularity.File in questo prodotto:
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