2026-05-05T20:54:10Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/586122023-06-05T20:00:33Zcom_10324_32197com_10324_952com_10324_894col_10324_32199

Non-autonomous scalar linear-dissipative and purely dissipative parabolic PDEs over a compact base flow Obaya, Rafael Sanz Gil, Ana María 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 2023-02-10T09:19:00Z 2023-02-10T09:19:00Z 2021 info:eu-repo/semantics/article Journal of Differential Equations, 2021, vol. 285, p. 714–750 0022-0396 https://uvadoc.uva.es/handle/10324/58612 10.1016/j.jde.2021.03.027 714 750 Journal of Differential Equations 285 eng https://www.sciencedirect.com/science/article/abs/pii/S0022039621001844?via%3Dihub info:eu-repo/semantics/openAccess Elsevier SI