Tuesday, October 12, 2021 - 16:00 in V10-122
Viscous Hamilton-Jacobi equations in exponential Orlicz hearts
A talk in the Other series by
Jonas Blessing from University of Konstanz
| Abstract: |
We provide a stochastic representation for viscous Hamilton-Jacobi equations with quadratic nonlinearity. In exponential Orlicz hearts the unique solution is represented by a strongly continuous, convex semigroup corresponding to a Brownian motion with uncertain drift. The existence and uniqueness of the semigroup is guaranteed by several abstract results on nonlinear semigroups. Finally, on the so called symmetric Lipschitz, set the generator can be explicitly determined and linked with the viscous Hamilton-Jacobi equation yielding a solution with values in a second order Sobolev space. The talk is based on joint work with Michael Kupper.
Within the CRC this talk is associated to the project(s): C3, C5 |
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