Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614211 | Journal of Mathematical Analysis and Applications | 2016 | 13 Pages |
Abstract
We propose the analysis of a non-linear parabolic problem of p(ω,t,x)p(ω,t,x)-Laplace type in the framework of Orlicz Lebesgue and Sobolev spaces with variable random exponents and a stochastic forcing by a cylindrical Wiener process. We give a result of well-posedness: existence, uniqueness and stability of the solution, for additive and multiplicative problems.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Guy Vallet, Aleksandra Zimmermann,