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Existence of Unbounded Viscosity Solutions of Fully nonlinear Degenerate Parabolic Systems in Rn
Wang Junfang * #
Department of Mathematics, Lanzhou University Lanzhou, Gansu, 730000, P. R. of China
*Correspondence author
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Funding: none
Opened online:21 October 2008
Accepted by: none
Citation: Wang Junfang.Existence of Unbounded Viscosity Solutions of Fully nonlinear Degenerate Parabolic Systems in Rn[OL]. [21 October 2008] http://en.paper.edu.cn/en_releasepaper/content/25001
 
 
In this article, we prove the comparison principle for coupled viscosity sub- and super-solution of degenerate parabolic systems of general form in Rn by the technique of coupled viscosity sub- and supper-solutions. We also prove the existence, uniqueness and continuity of viscosity by Perron’s method .
Keywords:Coupled viscosity sub- and supper-solutions, Fully nonlineardegenerate parabolic equations, Perron’s method
 
 
 

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