Global Resolvability for Quasilinear Hyperbolic Systems
Authors
Caizhong Li
Dept. of Applied Math., Chengdu Univ. of Sci. and Tech., Chengdu 610065, China
Changjiang Zhu
Laboratory of Nonlinear Analysis, Department of Mathematics, Central China Normal University, Wuhan 430079, China
Huijiang Zhao
School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
Keywords:
Global resolvability;maximum principle;function transformation
Abstract
In this paper, we consider the globally smooth solutions of diagonalizable systems consisted of n-equations. We give a sufficient condition which guarantees the global existence of smooth solutions. Tb.e techniques used in this paper can be applied to study the globally smooth (or continuous) solutions diagonalizable noostrict hyperbolic conversation laws.
