Strongly quasilinear parabolic systems
DOI:
https://doi.org/10.24193/subbmath.2023.2.10Abstract
Using the theory of Young measures, we prove the existence of 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 \(\sigma_0(x,t,u,Du)\)satisfy some conditions and \(f\in L^{p'}(0,T;W^{-1,p'}(\Omega;\mathbb{R}^m))\).Downloads
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Published
2023-06-13
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