Non-autonomous scalar linear-dissipative and purely dissipative parabolic PDEs over a compact base flow
| Autor: | Rafael Obaya, Ana M. Sanz |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Spectral theory
Purely dissipative PDEs Applied Mathematics 010102 general mathematics Mathematical analysis Scalar (mathematics) Li-Yorke chaos Linear-dissipative PDEs Pullback attractor 01 natural sciences 010101 applied mathematics Global and cocycle attractors Nonlinear system Flow (mathematics) Simple (abstract algebra) Non-autonomous dynamical systems Attractor Dissipative system 0101 mathematics Analysis Mathematics |
| DOI: | 10.1016/j.jde.2021.03.027 |
| Popis: | Producción Científica In this paper a family of non-autonomous scalar parabolic PDEs over a general compact and connected flow is considered. The existence or not of a neighbourhood of zero where the problems are linear has an influence on the methods used and on the dynamics of the induced skew-product semiflow. That is why two cases are distinguished: linear-dissipative and purely dissipative problems. In both cases, the structure of the global and pullback attractors is studied using principal spectral theory. Besides, in the purely dissipative setting, a simple condition is given, involving both the underlying linear dynamics and some properties of the nonlinear term, to determine the nontrivial sections of the attractor FEDER Ministerio de Economía y Competitividad MTM2015-66330-P y RTI2018-096523-B-I00 Universidad de Valladolid PIP-TCESC-2020 |
| Databáze: | OpenAIRE |
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