Continuity of attractors for a reaction-diffusion problem with respect to variations of the domain
We show that for a class of dissipative semilinear parabolic problems, the global attractor varies continuously (upper and lower semi-continuously) with respect to perturbations of the spatial domain.
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Published in: | Electronic journal of differential equations Vol. 2005; no. 100; pp. 1 - 18 |
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Main Authors: | , , |
Format: | Journal Article |
Language: | English |
Published: |
Texas State University
20-09-2005
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Subjects: | |
Online Access: | Get full text |
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Summary: | We show that for a class of dissipative semilinear parabolic problems, the global attractor varies continuously (upper and lower semi-continuously) with respect to perturbations of the spatial domain. |
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ISSN: | 1072-6691 |