|
|||||
|
|
Non-monotone stochastic generalized porous media equations |
|
| Authors: | Michael Rö ckner,Feng-Yu Wang |
| Affiliation: | a Department of Mathematics and BiBoS, Bielefeld University, Bielefeld, Germany b Departments of Mathematics and Statistics, Purdue University, West Lafayette, USA c School of Mathematical Sciences & Lab. Math. Com. Sys., Beijing Normal University, Beijing 100875, China d Department of Mathematics, Swansea University, Singleton Park, SA2 8PP, Swansea, UK |
| Abstract: | By using the Nash inequality and a monotonicity approximation argument, existence and uniqueness of strong solutions are proved for a class of non-monotone stochastic generalized porous media equations. Moreover, we prove for a large class of stochastic PDE that the solutions stay in the smaller L2-space provided the initial value does, so that some recent results in the literature are considerably strengthened. |
| Keywords: | 76S05 60H15 |
| 本文献已被 ScienceDirect 等数据库收录！ | |