Peixue Wu

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20242026

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math.PR2024

Heat kernel estimates for regional fractional Laplacians with multi-singular critical potentials in $C^{1, I^^{2}}$ open sets

Renming Song, Peixue Wu, Shukun Wu

Let $D$ be an open set of $R^{d}$ , $I^\pm \in (0, 2)$ and let $L_{I^} \pm^{D}$ be the generator of the censored $I^\pm$ -stable process in $D$ . In this paper, we establish sharp t…

math.PR2024

Peixue Wu, Zhiwei Yang, Hong Wang +1

In this paper we introduce a variable order time fractional differential equation driven by pure jump LÃ©vy noise, which models the motion of a particle exhibiting memory effect. W…

Heat kernel estimates for regional fractional Laplacians with multi-singular critical potentials in C1,I^2 open sets

Time fractional stochastic differential equations driven by pure jump LÃ©vy noise

Heat kernel estimates for regional fractional Laplacians with multi-singular critical potentials in $C^{1, I^^{2}}$ open sets