52 citations · 249 across the 15 of their papers we have counts for
3 papers · 1 filter
Spectral analysis of the biharmonic operator subject to Neumann boundary conditions on dumbbell domains
José M. Arrieta, Francesco Ferraresso, Pier Domenico Lamberti
We consider the biharmonic operator subject to homogeneous boundary conditions of Neumann type on a planar dumbbell domain which consists of two disjoint domains connected by a thi…
Distance of attractors for thin domains
José M. Arrieta, Esperanza Santamaría
In this work we consider a dissipative reaction-diffusion equation in a -dimensional thin domain shrinking to a one dimensional segment and obtain good rates for the convergence…
-Estimates on the distance of Inertial Manifolds
José M. Arrieta, Esperanza Santamaría
In this paper we obtain -estimates on the distance of inertial manifolds for dynamical systems generated by evolutionary parabolic type equations. We consider the situatio…