Study of properties of solutions for quasilinear parabolic systems
Department of Mathematics and Statistics, Beihua University, Jilin City, PR China
In this paper, we concern with degenerate and quasilinear parabolic systems not in divergence form with null Dirichlet boundary conditions and positive initial conditions. The local existence and uniqueness of classical solution are proved. Moreover, It will be proved that all solutions exist globally with homogeneous Dirichlet boundary condition.
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