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20212024
most citedFunction spaces, time derivatives and compactness for evolving families of Banach spaces with applications to PDEs

23 citations · 24 across the 5 of their papers we have counts for

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math.AP2021★ 23 cited

Function spaces, time derivatives and compactness for evolving families of Banach spaces with applications to PDEs

Amal Alphonse, Diogo Caetano, Ana Djurdjevac +1

We develop a functional framework suitable for the treatment of partial differential equations and variational problems on evolving families of Banach spaces. We propose a definiti…

math.AP2021

Cahn-Hilliard equations on an evolving surface

Diogo Caetano, Charles M. Elliott

We describe a functional framework suitable to the analysis of the Cahn-Hilliard equation on an evolving surface whose evolution is assumed to be given \textit{a priori}. The model…