This research shows existence of solutions to stochastic Burgers type equations with oblique reflection, indicating new insights in SPDEs.
The main goal of this paper is to prove that there are solutions to stochastic Burgers type equations that have an oblique reflection direction. For penalized systems of stochastic partial differential equations (SPDEs), we use approximations. The method makes use of approximations of SPDE penalized systems. We establish the existence of solutions for stochastic Burgers type heat equations with oblique reflection by using a priori estimates for the solutions of the penalized systems of SPDEs.
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Wang et al. (2025) studied this question.
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