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pro vyhledávání: '"Federico Bertacco"'
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::673d416dadfbc6e089251e7b2954063f
https://doi.org/10.1016/j.na.2020.112122
https://doi.org/10.1016/j.na.2020.112122
Publikováno v:
Oberwolfach Reports; 2022, Vol. 19 Issue 2, p1501-1550, 50p
Autor:
Alberto Valli
This textbook is devoted to second order linear partial differential equations. The focus is on variational formulations in Hilbert spaces. It contains elliptic equations, including the biharmonic problem, some useful notes on functional analysis, a
Autor:
Alberto Valli
This textbook is devoted to second order linear partial differential equations. The focus is on variational formulations in Hilbert spaces. It contains elliptic equations, including some basic results on Fredholm alternative and spectral theory, some