On the Cauchy Problem of a Quasilinear Degenerate Parabolic Equation

Zongqi Liang and Huashui Zhan

Discrete Dynamics in Nature and Society, 2009, vol. 2009, 1-12

Abstract:

By Oleinik's line method, we study the existence and the uniqueness of the classical solution of the Cauchy problem for the following equation in : , provided that is suitable small. Results of numerical experiments are reported to demonstrate that the strong solutions of the above equation may blow up in finite time.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:827087

DOI: 10.1155/2009/827087

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