5 citations · 11 across the 11 of their papers we have counts for
7 papers · 1 filter
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 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…
Strong solution for stochastic transport equations with irregular drift: existence and non-existence
Jinlong Wei, Jinqiao Duan, Hongjun Gao +1
We prove some existence, uniqueness and non-existence results of stochastic strong solutions for a class of stochastic transport equations with a -integrable (in time), bounded…
Existence and uniqueness of -solutions for stochastic transport equations
Jinlong Wei, Jinqiao Duan, Hongjun Gao +1
We investigate a stochastic transport equation driven by a multiplicative noise. For drift coefficient and …
On weak solutions of stochastic differential equations with sharp drift coefficients
Jinlong Wei, Guangying Lv, Jiang-Lun Wu
We extend Krylov and Röckner's result \cite{KR} to the drift coefficients in critical Lebesgue space, and prove the existence and uniqueness of weak solutions for a class of SDEs.…