70 citations · 244 across the 29 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…