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On nonlinear hyperbolic equation in unbounded domain

Authors:

Geng Di Qu Chang-zheng

Institution:

Lanzhou University, Lanzhou

Abstract:

The following nonlinear hyperbolic equation is discussed in this paper:

$u_{tt} + A^2 u + M\left( {x,\left\\| {A^{\frac{1}{2}} u} \right\\|\begin{array}{*{20}c} 2 \\ 2 \\ \end{array} } \right)Au = 0$

Keywords:	nonlinear hyperbolic equations unbounded domain energy estimation fixed point method
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