52 citations · 249 across the 15 of their papers we have counts for
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math.AP2017★ 25 cited
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…
math.AP2017
-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…