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- Title
Generalized φ-Pullback Attractors for Evolution Processes and Application to a Nonautonomous Wave Equation.
- Authors
Bortolan, Matheus C.; Caraballo, Tomás; Pecorari Neto, Carlos
- Abstract
In this work we define the generalized φ -pullback attractors for evolution processes in complete metric spaces, which are compact and positively invariant families, that pullback attract bounded sets with a rate determined by a decreasing function φ that vanishes at infinity, called decay function. We find conditions under which a given evolution process has a generalized φ -pullback attractor, both in the discrete and in the continuous cases. We present a result for the special case of generalized polynomial pullback attractors, and apply it to obtain such an object for a nonautonomous wave equation.
- Subjects
METRIC spaces; RATE setting; WAVE equation
- Publication
Applied Mathematics & Optimization, 2024, Vol 89, Issue 3, p1
- ISSN
0095-4616
- Publication type
Article
- DOI
10.1007/s00245-024-10133-6