Probability Seminars——Quasi-Linear (Stochastic) Partial Differential Equations with Time-Fractional Derivatives
主 题: Probability Seminars——Quasi-Linear (Stochastic) Partial Differential Equations with Time-Fractional Derivatives
报告人: Professor Roeckner (Bielefeld University, Germany)
时 间: 2018-03-19 15:00-16:00
地 点: Room 1303, Sciences Building No. 1
Abstract: In this paper we develop a method to solve evolution equations on Gelfand triples with time-fractional derivative based on monotonicity techniques. Applications include deterministic and stochastic quasi-linear partial differential equations with time-fractional derivatives, including time-fractional (stochastic) porous media equations (including the case where the Laplace operator is also fractional) and $p$-Laplace equations as special cases.