Strongly quasilinear parabolic systems
نویسندگان
چکیده
"Using the theory of Young measures, we prove existence solutions to a strongly quasilinear parabolic system \[\frac{\partial u}{\partial t}+A(u)=f,\] where $A(u)=-\text{div}\,\sigma(x,t,u,Du)+\sigma_0(x,t,u,Du)$, $\sigma(x,t,u,Du)$ and $\sigma_0(x,t,u,Du)$ are satisfy some conditions $f\in L^{p'}(0,T;W^{-1,p'}(\Omega;\R^m))$."
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ژورنال
عنوان ژورنال: Studia Universitatis Babe?-Bolyai
سال: 2023
ISSN: ['1224-8754', '2065-9458']
DOI: https://doi.org/10.24193/subbmath.2023.2.10