- Series
- PDE Seminar
- Time
- Tuesday, November 25, 2014 - 3:05pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Changyou Wang – Purdue University
- Organizer
- Geng Chen
For a $C^{1,1}$-uniformly elliptic matrix $A$, let $H(x,p)=$ be the corresponding
Hamiltonian function. Consider the Aronsson equation associated with $H$:
$$(H(x,Du))x H_p(x,Du)=0.$$
In this talk, I will indicate everywhere differentiability of any viscosity solution of the above Aronsson's equation.
This extends an important theorem by Evans and Smart on the infinity harmonic functions (i.e. $A$
is the identity matrix).