A Remark on Nonclassical Diffusion Equations with Memory
The nonclassical diffusion equation with hereditary memory u{sub t}−Δu{sub t}−Δu−∫{sub 0}{sup ∞}κ(s)Δu(t−s) ds+φ(u)=f on a 3D bounded domain is considered, for a very general class of memory kernels κ. 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.
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗