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Obaya, Rafael Sanz Gil, Ana María 2020-01-10T20:51:59Z 2020-01-10T20:51:59Z 2019 Discrete and Continuous Dynamical Systems - Series B, Agosto 2019, vol. 24 n. 8, p. 3947-3970. 1553-524X http://uvadoc.uva.es/handle/10324/40083 10.3934/dcdsb.2018338 3947 8 3970 Discrete & Continuous Dynamical Systems - B 24 Producción Científica This paper provides a dynamical frame to study non- autonomous parabolic partial differential equations with finite delay. Assuming monotonicity of the linearized semiflow, conditions for the existence of a continuous separation of type II over a minimal set are given. Then, practical criteria for the uniform or strict persistence of the systems above a minimal set are obtained. MINECO/FEDER grant MTM2015-66330-P European Commission under project H2020-MSCA-ITN-2014 643073 CRITICS application/pdf eng American Institute of Mathematical Science info:eu-repo/semantics/openAccess Topological dynamics Skew-product semiflows Continuous separation Partial functional differential equations with finite delay Uniform and strict persistence 1202.20 Ecuaciones Diferenciales en derivadas Parciales Persistence in non-autonomous quasimonotone parabolic partial functional differential equations with delay info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion https://www.aimsciences.org/article/doi/10.3934/dcdsb.2018338 info:eu-repo/grantAgreement/EC/H2020/643073 SI