Bull. Korean Math. Soc. 2013; 50(3): 811-821
Printed May 31, 2013
https://doi.org/10.4134/BKMS.2013.50.3.811
Copyright © The Korean Mathematical Society.
Hyungjin Huh
Chung-Ang University
We study the initial value problem of the exponential wave equation in $\mathbb{R }^{n+1}$ 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
MSC numbers: 35L60, 35L70
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