RT info:eu-repo/semantics/article
T1 Non-autonomous scalar linear-dissipative and purely dissipative parabolic PDEs over a compact base flow
A1 Obaya, Rafael
A1 Sanz Gil, Ana María
K1 Non-autonomous dynamical systems
K1 Global and cocycle attractors
K1 Linear-dissipative PDEs
K1 Purely dissipative PDEs
K1 Li-Yorke chaos
AB 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
PB Elsevier
SN 0022-0396
YR 2021
FD 2021
LK https://uvadoc.uva.es/handle/10324/58612
UL https://uvadoc.uva.es/handle/10324/58612
LA eng
NO Journal of Differential Equations, 2021, vol. 285, p. 714–750
NO Producción Científica
DS UVaDOC
RD 24-nov-2024