EXISTENCE OF GLOBAL-SOLUTIONS TO SOME NONLINEAR DISSIPATIVE WAVE-EQUATIONS

被引：0

作者：

CARPIO, A

机构：

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 1994年 / 73卷 / 05期

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D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let Omega be a smooth bounded domain. We prove existence of global solutions, i.e., solutions defined for all t epsilon R, for dissipative wave equations of the form: u'' - Delta u + \u'\(p-1) u' = 0 in Omega x (-infinity, infinity), p > 1, with Dirichlet boundary conditions. When Omega is unbounded the same existence result holds for p greater than or equal to 2.

引用

页码：471 / 488

页数：18

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