8 citations · 29 across the 25 of their papers we have counts for
6 papers · 1 filter
A Kolmogorov type theorem for stochastic fields
Jinlong Wei, Guangying Lv
We generalize the Kolmogorov continuity theorem and prove the continuity of a class of stochastic fields with the parameter. As an application, we derive the continuity of solution…
Impact of noise on parabolic equations
Guangying Lv, Jinlong Wei
In this short paper, we focus on the blowup phenomenon of stochastic parabolic equations. We first discuss the probability of the event that the solutions keep positive. Then, the…
Schauder and Sobolev Estimates of Parabolic Equations
Guangying Lv, Jinlong Wei
In this note, we use the non-homogeneous Poisson stochastic process to show how knowing Schauder and Sobolev estimates for the one-dimensional heat equation allows one to derive th…
Blowup solutions for stochastic parabolic equations
G. Lv, J. Wei
In this short paper, we are concerned with the blowup phenomenon of stochastic parabolic equations. By using comparison principle and the results of deterministic parabolic equatio…
Blowup solutions of Grushin's operator
Guangying Lv, Jinlong Wei, Longjie Xie
In this note, we consider the blowup phenomenon of Grushin's operator. By using the knowledge of probability, we first get expression of heat kernel of Grushin's operator. Then by…
Global existence and non-existence of stochastic parabolic equations
Guangying Lv, Jinlong Wei
This paper is concerned with the blowup phenomenon of stochastic parabolic equations both on bounded domain and in the whole space. We introduce a new method to study the blowup ph…