Local almost periodicity and direct limits of semigroup compactifications
Sign Up to like & getrecommendations! Published in 2019 at "Semigroup Forum"
DOI: 10.1007/s00233-019-10052-x
Abstract: A direct limit \(S := \lim _\rightarrow S_i\) of semitopological semigroups \(S_i\) is again a semitopological semigroup and so has a weakly almost periodic (WAP) compactification \(S^w\). However, the usefulness of \(S^w\) is limited since… read more here.
Keywords: direct limits; semigroup compactifications; periodicity direct; almost periodicity ... See more keywords
Asymptotic Almost Periodicity of Stochastic Evolution Equations
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-018-0604-2
Abstract: In this paper, we establish a new existence theorem for asymptotically almost periodic mild solutions to a class of semilinear stochastic evolution equations. As one would expect, our result would generalize and improve some related… read more here.
Keywords: almost periodicity; asymptotic almost; evolution equations; periodicity stochastic ... See more keywords
Boundedness, almost periodicity and stability of certain Navier–Stokes flows in unbounded domains
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DOI: 10.1016/j.jde.2017.08.061
Abstract: Abstract We investigate the existence, uniqueness and stability of bounded and almost periodic mild solutions to several Navier–Stokes flow problems. In our strategy, we propose a general framework for studying the semi-linear evolution equations with… read more here.
Keywords: boundedness almost; stability certain; almost periodicity; periodicity stability ... See more keywords
ABSTRACT ALMOST PERIODICITY FOR GROUP ACTIONS ON UNIFORM TOPOLOGICAL SPACES
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DOI: 10.4153/s0008414x23000226
Abstract: We present a unified theory for the almost periodicity of functions with values in an arbitrary Banach space, measures and distributions via almost periodic elements for the action of a locally compact abelian group on… read more here.
Keywords: almost periodicity; group; abstract almost; periodicity group ... See more keywords