Abstract
We prove uniqueness and existence of certain nonlinear stochastic partial differential equations (SPDEs) of divergence type defined on C 1-domains. Some Lp and Hölder estimates of the solution and its gradient are also obtained.
Original language | English |
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Pages (from-to) | 583-612 |
Number of pages | 30 |
Journal | Potential Analysis |
Volume | 41 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2014 Jun |
Bibliographical note
Funding Information:The research of the second author was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education, Science and Technology (20120005158)
Keywords
- Equations of divergence type
- Hölder estimates
- Nonlinear stochastic partial differential equations
ASJC Scopus subject areas
- Analysis