| Description: | [DMS-PDE Seminar] Dr Ananta Kumar Majee (Mathematisches Institut, Universität Tübingen, Germany) -- On Wellposedness of a Nonlinear Degenerate Parabolic-Hyperbolic PDE Driven by Levy Noise |
| Date: | Wednesday, Aug 24, 2016 |
| Time: | 1:30 p.m. - 2:30 p.m. |
| Venue: | 108, Lecture Hall Complex |
| Details: | In this talk, we are concerned with a multidimensional degenerate parabolic-hyperbolic equation driven by L ́evy noise. The particular emphasis is on analyzing the effect of multiplica- tive noise to such problems and establishing wellposedness by developing a suitable weak entropy solution framework. The proof of existence is based on the vanishing viscosity technique. The uniqueness is settled by interpreting Kruzkov’s doubling technique in the presence noise. Moreover, we derive an explicit continuous dependence estimate on the nonlinearities of the entropy solutions under the assumption that L ́evy noise depends only on the solution. This result is used to show the error estimate for the stochastic vanishing viscosity method. |
| Calendar: | Seminar Calendar (entered by saugata.bandyopadhyay) |