Abstract
Stochastic partial differential equations in smooth domains are considered in functional spaces of Sobolev type. The spaces are defined with the help of certain weights, which allow the derivatives of functions from these spaces to blow up near the boundary. Existence and uniqueness theorems are obtained.
Original language | English (US) |
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Pages (from-to) | 389-421 |
Number of pages | 33 |
Journal | Probability Theory and Related Fields |
Volume | 98 |
Issue number | 3 |
DOIs | |
State | Published - Sep 1994 |
Keywords
- Mathematics Subject Classification (1991): 60H15, 35R60