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Cauchy Problem for Quasilinear Hyperbolic Systems with Higher Order Dissipative Terms
引用本文:Wei-guo ZhangDepartment of Basic Sciences,University of Shanghai for Science and Technology,Shanghai 200093,China. Cauchy Problem for Quasilinear Hyperbolic Systems with Higher Order Dissipative Terms[J]. 应用数学学报(英文版), 2003, 19(1): 71-82. DOI: 10.1007/s10255-003-0082-6
作者姓名:Wei-guo ZhangDepartment of Basic Sciences  University of Shanghai for Science and Technology  Shanghai 200093  China
作者单位:Wei-guo ZhangDepartment of Basic Sciences,University of Shanghai for Science and Technology,Shanghai 200093,China
基金项目:Supported by the Scientific and Technical Foundation for the Education Commission of Shanghai.
摘    要:
Abstract In this paper, the author studies the global existence, singularities and life span of smoothsolutions of the Cauchy probleth for a class of quasilinear hypetbolic systems with higher order dissipativeterms and gives their applications to nonlinear wave equations with higher order dissipative terms.


Cauchy Problem for Quasilinear Hyperbolic Systems with Higher Order Dissipative Terms
Wei-guo Zhang. Cauchy Problem for Quasilinear Hyperbolic Systems with Higher Order Dissipative Terms[J]. Acta Mathematicae Applicatae Sinica, 2003, 19(1): 71-82. DOI: 10.1007/s10255-003-0082-6
Authors:Wei-guo Zhang
Affiliation:(1) Department of Basic Sciences, University of Shanghai for Science and Technology, Shanghai 200093, China (E-mail: zwgzwm@sohu.com), CN
Abstract:
In this paper, the author studies the global existence, singularities and life span of smooth solutions of the Cauchy problem for a class of quasilinear hyperbolic systems with higher order dissipative terms and gives their applications to nonlinear wave equations with higher order dissipative terms.
Keywords:Cauchy problem   Dissipative term   Genuinely nonlinear   Linearly degenerate
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