Global Existence of Solutions for a Nonstrictly Hyperbolic System

We obtain the global existence of weak solutions for the Cauchy problem of the nonhomogeneous, resonant system. First, by using the technique given in Tsuge (2006), we obtain the uniformly bounded L∞ estimates z(ρδ,ε,uδ,ε)≤B(x) and w(ρδ,ε,uδ,ε)≤β when a(x) is increasing (similarly, w(ρδ,ε, uδ,ε)≤B(x...

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Bibliographic Details
Main Authors: De-yin Zheng, Yun-guang Lu, Guo-qiang Song, Xue-zhou Lu
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/691429
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