Inverse Limits with Upper Semi-continuous Bonding Functions Whose Inverse Functions are Continuous
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DOI: 10.1007/s00009-020-01525-3
Abstract: In this paper, we investigate properties of inverse limits with upper semi-continuous bonding functions whose inverse functions are continuous. In particular, under the condition where each factor space is an arbitrary compactum, we give a… read more here.
Keywords: upper semi; continuous bonding; bonding functions; inverse limits ... See more keywords
Upper semi-continuity of random attractors and existence of invariant measures for nonlocal stochastic Swift–Hohenberg equation with multiplicative noise
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DOI: 10.1063/5.0039187
Abstract: In this paper, we mainly study the long-time dynamical behaviors of 2D nonlocal stochastic Swift-Hohenberg equations with multiplicative noise from two perspectives. Firstly, by adopting the analytic semigroup theory, we prove the upper semi-continuity of… read more here.
Keywords: upper semi; semi continuity; swift hohenberg; multiplicative noise ... See more keywords