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math.AP2026
A class of non-cylindrical domains for parabolic equations
Alberto Domínguez Corella, Jorge Rivera-Noriega
We present a class of non-cylindrical domains where Dirichlet-type problems for parabolic equations, such as the heat equation, can be posed and solved. The regularity for the boun…
math.AP2025
Viability Theory in the 1-Wasserstein Space
Benoît Bonnet-Weill, Alberto Domínguez Corella, Hélène Frankowska
In this article, we establish necessary and sufficient viability conditions for continuity inclusions over the 1-Wasserstein space. Depending on the regularity properties of the dy…