Initial Value Problem for General Quasilinear Hyperbolic Systems with Characteristics with Constant Multiplicity

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Abstract

The authors consider the global existence and the blow-up phenomenon of classical solutions with small amplitude to the Cauchy problem for general quasilinear hyperbolic systems with characteristics with constant multiplicity and given some applications.

Keywords:

Global classical solution;general quasilinear hyperbolic system;characteristic with constant multiplicity
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Initial Value Problem for General Quasilinear Hyperbolic Systems with Characteristics with Constant Multiplicity. (2020). Journal of Partial Differential Equations, 10(4), 299-322. https://www.global-sci.com/index.php/jpde/article/view/3864