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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):
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Date: |
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Speaker: |
Jorge Salazar, CMAF, Universidade de Lisboa, Portugal
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Place: |
Room 5.5
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Research Groups: |
-Analysis
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See more:
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