Upper semicontinuity of attractors for approximations of semigroups and partial differential equations-Reference-Cited by-同舟云学术

Upper semicontinuity of attractors for approximations of semigroups and partial differential equations

Published:1988 Issue:181 Volume:50 Page:89-123
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Hale Jack K.,Lin Xiao-Biao,Raugel Geneviève

Abstract

Suppose a given evolutionary equation has a compact attractor and the evolutionary equation is approximated by a finite-dimensional system. Conditions are given to ensure the approximate system has a compact attractor which converges to the original one as the approximation is refined. Applications are given to parabolic and hyperbolic partial differential equations.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1988-50-181/S0025-5718-1988-0917820-X/S0025-5718-1988-0917820-X.pdf

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