Speaker:
Tianling Jin
Institution:
Caltech
Time:
Tuesday, November 17, 2015 - 3:00pm to 3:50pm
Host:
Location:
RH 306
We prove interior H ̈older estimates for the spatial gradient of vis- cosity solutions to the parabolic homogeneous p-Laplacian equation
ut = |∇u|2−pdiv(|∇u|p−2∇u),
where 1 < p < ∞. This equation arises from tug-of-war-like stochastic games with noise. It can also be considered as the parabolic p-Laplacian equation in non divergence form. This is joint work with Luis Silvestre.