Accession Number:

ADA170187

Title:

Upper Semicontinuity of Attractors for Approximations of Semigroups and Partial Differential Equations.

Descriptive Note:

Technical rept.,

Corporate Author:

BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS

Report Date:

1985-10-01

Pagination or Media Count:

74.0

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.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE