TY - JOUR
T1 - A note on Wpγ -theory of linear stochastic parabolic partial differential systems
AU - Kim, Kyeong Hun
AU - Lee, Kijung
N1 - Funding Information:
The authors are deeply grateful for the support and encouragement of their teacher, Prof. Krylov, ever since the graduate student years. The research of the first 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 ( 2011-0027230 ). 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 ( 2011-0005597 ).
PY - 2013/1
Y1 - 2013/1
N2 - In this article we construct a Wpγ-theory of linear stochastic parabolic partial differential systems. Here, p∈[2,∞) and γ∈(-∞,∞). We also provide an example to show that for stochastic systems we need more restriction than the algebraic condition which ensures that diffusion survives against wild convection.
AB - In this article we construct a Wpγ-theory of linear stochastic parabolic partial differential systems. Here, p∈[2,∞) and γ∈(-∞,∞). We also provide an example to show that for stochastic systems we need more restriction than the algebraic condition which ensures that diffusion survives against wild convection.
KW - Linear stochastic parabolic partial differential system
KW - Wpγ theory
UR - http://www.scopus.com/inward/record.url?scp=84866482766&partnerID=8YFLogxK
U2 - 10.1016/j.spa.2012.08.016
DO - 10.1016/j.spa.2012.08.016
M3 - Article
AN - SCOPUS:84866482766
SN - 0304-4149
VL - 123
SP - 76
EP - 90
JO - Stochastic Processes and their Applications
JF - Stochastic Processes and their Applications
IS - 1
ER -