Study of properties of solutions for quasilinear parabolic systems

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 global...

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Bibliographic Details
Main Authors: Gao, Yunzhu, Qiu Meng, Guo, Yingjia
Format: Conference Proceeding
Language:English
Subjects:
Boundary conditions
Dirichlet problem
Initial conditions
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Summary: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.
ISSN:2261-236X
2274-7214
2261-236X
DOI:10.1051/matecconf/20166101016