OnLp-Theory of stochastic partialdifferential equations of divergence form with continuous coefficients
作者:
Hyek Yoo,
期刊:
Stochastic Analysis and Applications
(Taylor Available online 1999)
卷期:
Volume 17,
issue 5
页码: 871-894
ISSN:0736-2994
年代: 1999
DOI:10.1080/07362999908809640
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
We develop anLp-theory of stochastic PDEs of divergence form. Under natural assumptions on the coefficients and the data, we show that the solutions belong to some modified stochastic Sobolev spaces. As a consequence of this result and certain embedding theorem, we also show that the solutions are Holder continuous in space and time a.s. for sufficiently largep
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