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math.AP2019
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…
math.AP2019
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…
math.AP2019★ 4 cited
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…