Inertial Manifolds for Weakly and Strongly Dissipative Hyperbolic Equations

被引：0
作者：
Goritskii A.Y. [1 ]
Chalkina N.A. [1 ]
机构：
[1] Moscow State University, Moscow
来源：
Journal of Mathematical Sciences | 2014年 / 197卷 / 3期
基金：
俄罗斯基础研究基金会;
关键词：
Manifold; Hyperbolic Equation; Lipschitz Constant; Integral Manifold; Lipschitz Continuous Function;
D O I：
10.1007/s10958-014-1715-4
中图分类号：
学科分类号：
摘要：
One considers mixed boundary value problems for a quasilinear hyperbolic equation with a weak, as well as strong, dissipation. The nonlinear function in the equation is assumed Lipschitz continuous. For each of these problems one obtains the conditions on the Lipschitz constant that ensure the existence of inertial manifolds. © 2014 Springer Science+Business Media New York.
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页码：291 / 302
页数：11
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