| |
|
Description: |
In this talk (a joint work with Luis Caffarelli), we are going to report on the construction of viscosity solutions (in the Crandall-Lions sense) of fully nonlinear equations of the form $F(D^2 u,x) = g(x,u)$ on $\{|\nabla u| \ne 0$. By an appropiate use of the Alexandroff-Backelmann technique, we prove existence, regularity and, in two dimensions, for $F=\Delta$, $g = cu$ ($c>0$) and constant boundary conditions on a convex domain, we prove that there is only one convex patch.
Area(s):
|
|
Date: |
|
|
Speaker: |
Jorge Salazar, CMAF, Universidade de Lisboa, Portugal
|
|
Place: |
Room 5.5
|
| Research Groups: |
-Analysis
|
|
See more:
|
<Main>
|
|
