5 citations · 11 across the 11 of their papers we have counts for
15 papers
Stochastic transport equation with bounded and Dini continuous drift
Jinlong Wei, Guangying Lv, Wei Wang
The results established by Flandoli, Gubinelli and Priola ({\it Invent. Math.} {\bf 180} (2010) 1--53) for stochastic transport equation with bounded and Hölder continuous drift ar…
Noise and Stability in Reaction-diffusion Equations
Guangying Lv, Jinlong Wei, Guang-an Zou
We study the stability of reaction-diffusion equations in presence of noise. The relationship of stability of solutions between the stochastic ordinary different equations and the…
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…