EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTIONS OF THE INITIAL-BOUNDARY VALUE PROBLEM FOR SOME DEGENERATE HYPERBOLIC EQUATION

被引：0

作者：

叶耀军

机构：

[1] Department of Information and Computational Science

[2] Henan Agricultural University

[3] Zhengzhou 450002

[4] China

[5] The Graduate School of China Academy of Engineering Physics

[6] P.O.Box 2101

[7] Beijing 100088

来源：

Acta Mathematica Scientia | 2005年 / 04期

关键词：

Degenerate hyperbolic equations; global existence and global nonexistence; initial-boundary value problem;

D O I：

暂无

中图分类号：

O175.27 [双曲型方程];

学科分类号：

070104 ;

摘要：

The author considers the global existence and global nonexistence of theinitial-boundary value problem for some degenerate hyperbolic equation of the formutt ? div(|?u|p?2?u) = |u|mu, (x, t) ∈ [0, +∞) × ?with p > 2 and m > 0. He deals with the global solutions by D.H.Sattinger’s potential wellideas. At the same time, when the initial energy is positive, but appropriately bounded,the global nonexistence of solutions is verified by using the analysis method.

引用

页码：703 / 709

页数：7

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