Rate of convergence of attractors for semilinear singularly perturbed problems: parabolic equations with large diffusion

14 Jun 2016  ·  Pires Leonardo ·

We exhibit a singularly perturbed parabolic problems for which the asymptotic behavior can be described by an one-dimensional ordinary differential equation. We estimate the continuity of attractors in the Hausdorff metric by rate of convergence of resolvent operator.

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Analysis of PDEs