Global existence for some 4-D quasilinear wave equations with low regularity

Mengyun Liu; Chengbo Wang

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arXiv · 1709.00967

Global existence for some 4-D quasilinear wave equations with low regularity

Mengyun Liu·Chengbo Wang

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Abstract

In this paper, we prove the global existence for some 4-D quasilinear wave equations with small, radial data in $H^{3}\times H^{2}$. The main idea is to exploit local energy estimates with variable coefficients, together with the trace estimates.

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Mengyun Liu, Chengbo Wang. 2017-09-04. Global existence for some 4-D quasilinear wave equations with low regularity. https://arxiv.org/abs/1709.00967

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