学术
国际标准刊号：ISSN 1000-0984
国内统一刊号：CN 11-2018
摘 要:
考虑一类带有源项的拟线性波动方程的初边值问题，利用Galerkin方法和单调算子方法讨论在混合边界条件下．该问题整体广义解的存在性及衰减性．[著者文摘]
文章出处:
《数学的实践与认识》-2006年36卷8期 -357-363页
Mathematics in Practice and Theory
栏目信息:
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[参考文献]
Initial Boundary Value Problem for a Quasi-Linear Wave Equation with Source Term
ZHAO Wu-chao, SONG Zhi-hua （1. Luoyang Normal College, Luoyang Henan 471022, China; 2. North China Instite of Water and Hydroelectric Power, Zhengzhou Henan 450011, China）
Abstract:
The initial boundary value problem for a quasi-linear wave ecluastion is studied. By virtue of the Galerkin approximation scheme combined with the monotone operator method, it is proved that under the mixed nonhomogeneous condition, the above-mentioned problem admits a global generalized solution which decays to zero as t →∞ .[著者文摘]
Key words:
problem quasi-linearity; wave equation; generalized solutions; initial boundary value
收稿日期: 2006-05-09
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