方程u_(tt)-△u-△u_t-△u_(tt)=f(u)的初边值问题  

INITIAL BOUNDARV VALUE PROBLEM OF EQUATION u_(tt)-△u-△u_t-△u_(tt)= f(u)

作　　者：尚亚东[1] 

机构地区：[1]西安石油学院基础部,西安710065

出　　处：《应用数学学报》2000年第3期385-393,共9页Acta Mathematicae Applicatae Sinica

摘　　要：本文研究一类四阶非线性耗散、色散波动方程的初边值问题得到了问题整体强解的存在性和唯一性，并在一定条件下，研究了解的渐近性质和 ｂｌｏｗThis paper studies the following initial boundary value problem for a class of fourth order nonlinear dispersive-dissipative wave equations The existence and uniqueness of the global strong solution for the problem are proved by means of the Galerkin method. The asymptotic behavior and 'blow up' Phenomenon of the solution for the problem are investigated under certain conditions.

关 键 词：非线性波动方程 色散 耗散 初边值问题 整体强解 

分 类 号：O175.29[理学—数学]