A CLASS OF FOURTH ORDER DAMPED WAVE EQUATIONS WITH ARBITRARY POSITIVE INITIAL ENERGY

被引：10
作者：
Liu, Yang [1 ,2 ]
Mu, Jia [2 ]
Jiao, Yujuan [2 ]
机构：
[1] Sichuan Univ, Coll Math, Chengdu 610065, Sichuan, Peoples R China
[2] Northwest Univ Nationalities, Coll Math & Comp Sci, Lanzhou 730124, Gansu, Peoples R China
来源：
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2019年 / 62卷 / 01期
基金：
中国国家自然科学基金;
关键词：
fourth order damped wave equations; global existence; finite time blow-up; arbitrary positive initial energy; TIME BLOW-UP; GLOBAL-SOLUTIONS; NONLINEAR-WAVE; ASYMPTOTIC-BEHAVIOR; CAUCHY-PROBLEM; NONEXISTENCE; EXISTENCE; INSTABILITY;
D O I：
10.1017/S0013091518000330
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the initial boundary value problem for a class of fourth order damped wave equations with arbitrary positive initial energy. In the framework of the energy method, we further exploit the properties of the Nehari functional. Finally, the global existence and finite time blow-up of solutions are obtained.
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页码：165 / 178
页数：14
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