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arXiv · 1205.4566

On Neumann boundary problem for strongly degenerate parabolic-hyperbolic equations on a bounded rectangle

Yuxi Hu·Yachun Li
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Abstract

We study a Neumann type initial-boundary value problem for strongly degenerate parabolic-hyperbolic equations under the nonlinearity-diffusivity condition. We suggest a notion of entropy solution for this problem and prove its uniqueness. The existence of entropy solutions is also discussed.

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Yuxi Hu, Yachun Li. 2014-07-08. On Neumann boundary problem for strongly degenerate parabolic-hyperbolic equations on a bounded rectangle. https://arxiv.org/abs/1205.4566

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