Back to Departmental Colloquium: Spring 2001
Departmental Colloquium
Date: Thursday, Jan 11, 2001
Time: 4:15PM
Location: JWB 335
Patrick Guidotti
Caltech
Title |
Exploiting anisotropy in PDEs |
Abstract |
PDEs in partly unbounded cylinder like domains occur frequently in applications. One of their apparent features is the natural anisotropy between bounded and non bounded directions. We shall illustrate how one can take advantage of this structure to simplify their analysis considering two different situations. Firstly we introduce the concept of semiclassical fundamental solution of a PDE and show how it can be utilized for several different purposes. Secondly we consider a two dimensional Free Boundary Problem with initial domain degeneration. |
Mathematical Biology
Differential Equations