Decay of solutions in nonhomogeneous thermoelastic diffusion bars
Kaouther Boulehmi, Moncef Aouadi · Applicable Analysis · 2013
We consider a nonhomogeneous thermoelastic diffusion system in one space dimension where the coefficients are space-dependent. For Dirichlet, Neumann- and Robin-type boundary conditions the existence and uniqueness of solutions is proved by means of a strongly continuous semigroup of bounded operators associated to the system. Then, the exponential and polynomial decay of the solutions is discussed. We conclude by showing the impossibility of localization in time of the solutions.