RT info:eu-repo/semantics/article
T1 Forwards attraction properties in scalar non-autonomous  linear-dissipative parabolic PDEs. The case of null upper Lyapunov exponent
A1 Langa, José Antonio
A1 Obaya, Rafael
A1 Sanz Gil, Ana María
K1 Ecuaciones en derivadas parciales
K1 Non-autonomous dynamical systems; pullback and forwards attraction for processes; linear-dissipative parabolic PDEs; Li-Yorke chaos
K1 1202.20  Ecuaciones Diferenciales en derivadas Parciales
AB As it is well-known, the forwards and pullback dynamics are in general unrelated. In this paper we present an in-depth study of whether the pullback attractor is also a forwards attractor for the processes involved with the skew-product semiflow induced by a family of scalar non-autonomous reaction-diffusion equations which are linear in a neighbourhood of zero and have null upper Lyapunov exponent. Besides, the notion of Li-Yorke chaotic pullback attractor for a process is introduced, and we prove that this chaotic behaviour might occur for almost all the processes. When the problems are additionally sublinear, more cases of forwards attraction are found, which had not been previously considered even in the case of linear-dissipative ODEs.
PB IOP Publishing and London Mathematical Society
SN 0951-7715
YR 2020
FD 2020
LK http://uvadoc.uva.es/handle/10324/41603
UL http://uvadoc.uva.es/handle/10324/41603
LA eng
NO Nonlinearity, 2020, vol. 33, n. 9, p. 4277-4309.
NO Producción Científica
DS UVaDOC
RD 18-nov-2024