Abstract
Stochastic partial differential equations of divergence form are considered in C1 domains. Existence and uniqueness results are given in a Sobolev space with weights allowing the derivatives of the solutions to blow up near the boundary.
Original language | English |
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Pages (from-to) | 473-492 |
Number of pages | 20 |
Journal | Probability Theory and Related Fields |
Volume | 130 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2004 Dec |
Externally published | Yes |
Keywords
- C domains
- Sobolev spaces with weights
- Stochastic partial differential equations
ASJC Scopus subject areas
- Analysis
- Statistics and Probability
- Statistics, Probability and Uncertainty