Abstract
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) |
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Pages (from-to) | 152-193 |
Number of pages | 42 |
Journal | Nonlinear Analysis, Theory, Methods and Applications |
Volume | 142 |
DOIs | |
State | Published - Sep 1 2016 |
All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
Keywords
- Renormalization
- Stochastic Ginzburg-Landau equations