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 |
|---|---|
| Pages (from-to) | 583-612 |
| Number of pages | 30 |
| Journal | Potential Analysis |
| Volume | 41 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2014 Jan 1 |
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ASJC Scopus subject areas
- Analysis
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Some Lp and Hölder Estimates for Divergence Type Nonlinear SPDEs on C 1-Domains. / Kim, Ildoo; Kim, Kyeong Hun.
In: Potential Analysis, Vol. 41, No. 2, 01.01.2014, p. 583-612.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Some Lp and Hölder Estimates for Divergence Type Nonlinear SPDEs on C 1-Domains
AU - Kim, Ildoo
AU - Kim, Kyeong Hun
PY - 2014/1/1
Y1 - 2014/1/1
N2 - 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.
AB - 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.
KW - Equations of divergence type
KW - Hölder estimates
KW - Nonlinear stochastic partial differential equations
UR - http://www.scopus.com/inward/record.url?scp=84904507379&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84904507379&partnerID=8YFLogxK
U2 - 10.1007/s11118-013-9384-3
DO - 10.1007/s11118-013-9384-3
M3 - Article
VL - 41
SP - 583
EP - 612
JO - Potential Analysis
JF - Potential Analysis
SN - 0926-2601
IS - 2
ER -