Rate of Convergence of Attractors for Singularly Perturbed Semilinear Problems
We exhibit a class of singularly perturbed parabolic problems which the asymptotic behavior can be described by a system of ordinary differential equation. We estimate the convergence of attractors in the Hausdorff metric by rate of convergence of resolvent operators. Application to spatial homogeni...
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Zusammenfassung: | We exhibit a class of singularly perturbed parabolic problems which the
asymptotic behavior can be described by a system of ordinary differential
equation. We estimate the convergence of attractors in the Hausdorff metric by
rate of convergence of resolvent operators. Application to spatial
homogenization and large diffusion except in a neighborhood of a point will be
considered. |
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DOI: | 10.48550/arxiv.1606.03772 |