Reflected Stochastic Burgers Equation with Jumps

Hongchao Qian, Jun Peng, Ruizhi Li, Yewei Gui

Communications on Applied Mathematics and Computation ›› 2023

Communications on Applied Mathematics and Computation ›› 2023 DOI: 10.1007/s42967-023-00305-6
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Reflected Stochastic Burgers Equation with Jumps

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Abstract

This paper is concerned with the reflected stochastic Burgers equation driven both by the Brownian motion and by the Poisson random measure. The existence and uniqueness of solutions are established. The penalization method plays an important role.

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Hongchao Qian, Jun Peng, Ruizhi Li, Yewei Gui. Reflected Stochastic Burgers Equation with Jumps. Communications on Applied Mathematics and Computation, 2023 https://doi.org/10.1007/s42967-023-00305-6

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