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http://dx.doi.org/10.4134/BKMS.2013.50.3.811

GLOBAL SOLUTIONS OF THE EXPONENTIAL WAVE EQUATION WITH SMALL INITIAL DATA  

Huh, Hyungjin (Department of Mathematics Chung-Ang University)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.3, 2013 , pp. 811-821 More about this Journal
Abstract
We study the initial value problem of the exponential wave equation in $\math{R}^{n+1}$ for small initial data. We shows, in the case of $n=1$, the global existence of solution by applying the formulation of first order quasilinear hyperbolic system which is weakly linearly degenerate. When $n{\geq}2$, a vector field method is applied to show the stability of a trivial solution ${\phi}=0$.
Keywords
quasilinear wave; weakly linearly degenerate; double null form;
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