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We study a large class of stochastic $p$-Laplace Allen-Cahn equations with singular potential. Under suitable assumptions on the (multiplicative-type) noise we first prove existence, uniqueness, and regularity of variational solutions. Then, we show
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::02c9a48010227255cfe648a9938ae3f7
http://arxiv.org/abs/2110.06544
http://arxiv.org/abs/2110.06544
Autor:
Federico Bertacco
Publikováno v:
Nonlinear Analysis. 202:112122
We prove existence and uniqueness of a solution for the stochastic Allen-Cahn equation with logarithmic potential and multiplicative Wiener noise, under homogeneous Neumann boundary condition. The existence of a solution is obtained in the variationa