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http://dx.doi.org/10.4134/BKMS.b140810

NONHOMOGENEOUS DIRICHLET PROBLEM FOR ANISOTROPIC DEGENERATE PARABOLIC-HYPERBOLIC EQUATIONS WITH SPATIALLY DEPENDENT SECOND ORDER OPERATOR

Wang, Qin (Department of Mathematics and Statistics Yunnan University)

Publication Information

Bulletin of the Korean Mathematical Society / v.53, no.6, 2016 , pp. 1597-1612 More about this Journal

Abstract

There are fruitful results on degenerate parabolic-hyperbolic equations recently following the idea of $Kru{\check{z}}kov^{\prime}s$ doubling variables device. This paper is devoted to the well-posedness of nonhomogeneous boundary problem for degenerate parabolic-hyperbolic equations with spatially dependent second order operator, which has not caused much attention. The novelty is that we use the boundary flux triple instead of boundary layer to treat this problem.

Keywords

degenerate parabolic-hyperbolic equation; variable coefficients; boundary condition; entropy process solution; uniqueness;

Citations & Related Records

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