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20102024
most citedSemimartingale attractors for Allen-Cahn SPDEs driven by space-time white noise I: Existence and finite dimensional asymptotic behavior

6 citations · 16 across the 12 of their papers we have counts for

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math.AP2010

Finite-dimensional global attractors in Banach spaces

Alexandre N Carvalho, José A Langa, James C Robinson

We provide bounds on the upper box-counting dimension of negatively invariant subsets of Banach spaces, a problem that is easily reduced to covering the image of the unit ball unde…

math.PR2010★ 6 cited

Semimartingale attractors for Allen-Cahn SPDEs driven by space-time white noise I: Existence and finite dimensional asymptotic behavior

Hassan Allouba, Jose A. Langa

We delve deeper into the study of semimartingale attractors that we recently introduced in Allouba and Langa \cite{AL0}. In this article we focus on second order SPDEs of the Allen…