This article analyzes well-definedness and regularity of renormalized powers of Ornstein-Uhlenbeck processes and uses this analysis to establish local existence, uniqueness and regularity of strong solutions of stochastic Ginzburg-Landau equations with polynomial nonlinearities in two space dimensions and with quadratic nonlinearities in three space dimensions.
|Original language||English (US)|
|Number of pages||42|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|State||Published - Sep 1 2016|
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- Stochastic Ginzburg-Landau equations