Pathwise uniqueness and non-explosion of SDEs driven by compensated Poisson random measures

2019 ◽  
Vol 150 ◽  
pp. 61-67
Author(s):  
Chen Wang ◽  
Tusheng Zhang
Keyword(s):  
Pathwise Uniqueness ◽  
Random Measures ◽  
Poisson Random Measures

Stochastic Cahn-Hilliard equations driven by Poisson random measures

2014 ◽  
Vol 57 (12) ◽  
pp. 2563-2576
Author(s):  
YiMing Jiang ◽  
KeHua Shi ◽  
SuXin Wang
Keyword(s):  
Random Measures ◽  
Poisson Random Measures

ON A NONLOCAL STOCHASTIC KURAMOTO–SIVASHINSKY EQUATION WITH JUMPS

2007 ◽  
Vol 07 (04) ◽  
pp. 439-457 ◽  
Author(s):  
LIJUN BO ◽  
KEHUA SHI ◽  
YONGJIN WANG
Keyword(s):  
Weak Solution ◽  
Invariant Measure ◽  
Existence And Uniqueness ◽  
Random Measures ◽  
Poisson Random Measures ◽  
Sivashinsky Equation

In this paper, we study a class of nonlocal stochastic Kuramoto–Sivashinsky equations driven by compensated Poisson random measures and show the existence and uniqueness of the weak solution to the equation. Furthermore, we prove that an invariant measure of the equation indeed exists under some appropriate assumptions.

scholarly journals Ramsey's Theorem and Poisson Random Measures

1983 ◽  
Vol 11 (4) ◽  
pp. 904-908
Author(s):  
Timothy C. Brown ◽  
Joseph Kupka
Keyword(s):  
Random Measures ◽  
Ramsey's Theorem ◽  
Poisson Random Measures ◽  
Ramsey’S Theorem
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