Seminario Análisis y EDPs
Free boundary problems as Hamilton-Jacobi-Bellman equations CANCELLED
Ponente: Néstor Guillén (Texas State University)Fecha: miércoles 24 de febrero de 2021 - 15:00Lugar: Online - Info: sites.google.com/view/analysis-pde-seminar
Integro-differential equations have been fundamental in the analysis of all kinds of free boundary problems, from the vortex patch equation to interfacial Darcy flows. In work with Chang-Lara and Schwab, we show how certain two-phase free boundary problems such as the quasistatic Stefan problem are equivalent to nonlocal Hamilton-Jacobi-Bellman equations. This equivalence has a number of immediate consequences, such as an existence and uniqueness theory based on viscosity solutions, and propagation of Lipschitz regularity of the initial data.