%0 Journal Article
%T Decay results for viscoelastic diffusion equations in absence of instantaneous elasticity
%A Mohammad Kafini
%J Electronic Journal of Differential Equations
%D 2012
%I Texas State University
%X We study the diffusion equation in the absence of instantaneous elasticity $$ u_t-int_0^{t}g(t- au )Delta u( au ),d au =0,quad (x,t)in Omega imes (0,+infty ), $$ where $Omega subset mathbb{R}^n$, subjected to nonlinear boundary conditions. We prove that if the relaxation function g decays exponentially, then the solutions is exponential stable.
%K Diffusion equation
%K instantaneous elasticity
%K exponential decay
%K relaxation function
%K viscoelastic
%U http://ejde.math.txstate.edu/Volumes/2012/73/abstr.html