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arXiv · 1601.04007

Blow-up rate for a semilinear wave equation with exponential nonlinearity in one space dimension

Asma Azaiez·Nader Masmoudi·Hatem Zaag
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Abstract

We consider in this paper blow-up solutions of the semilinear wave equation in one space dimension, with an exponential source term. Assuming that initial data are in $H^{1}_{loc}\times L^2_{loc}$ or some times in $ W^{1,\infty}\times L^{\infty}$, we derive the blow-up rate near a non-characteristic point in the smaller space, and give some bounds near other points. Our result generalize those proved by Godin under high regularity assumptions on initial data.

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Asma Azaiez, Nader Masmoudi, Hatem Zaag. 2016-01-15. Blow-up rate for a semilinear wave equation with exponential nonlinearity in one space dimension. https://arxiv.org/abs/1601.04007

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