Differential transmutations
PDE Seminar
Meeting Details
For more information about this meeting, contact Rachel Weaver, Toan T. Nguyen, Alberto Bressan.
Speaker: Franck Sueur, Institut de Mathématiques de Bordeaux
Abstract: Inspired by Gromov's partial differential relations, we introduce a notion of differential transmutation, which allows to transfer some local properties of solutions of a PDE to solutions of another PDE, in particular local solvability, hypoellipticity, weak and strong unique continuation properties and the Runge approximation property. The latest refers to the possibility to approximate some given local solutions by a global solution, with point controls at preassigned positions in the holes of the initial domain. As an example we consider the steady Stokes system, which can be obtained as a differential transmutation of an appropriate tensorization of the Laplace operator.
Room Reservation Information
Room Number: 114 McAllister
Date: 02/14/2024
Time: 2:30pm - 3:30pm