4 papers
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…
A note on absolutely minimal extensions in finite metric spaces
Alberto Domínguez Corella, Trí Minh Lê
Absolutely minimal Lipschitz extensions (AMLEs) are known to exist in many infinite metric settings, but the finite case is less settled. In metric spaces with at most four points,…
Viability Theory in the -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…
A first-order condition for discrete-time distribution steering
Alberto Domínguez Corella, David González-Sánchez
We study a class of distribution-steering problems from a variational point of view. Under some differentiability assumptions, we derive necessary conditions for optimal Markov pol…