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arxiv: 1709.00967 · v1 · pith:N7Q5MXT6new · submitted 2017-09-04 · 🧮 math.AP

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

classification 🧮 math.AP
keywords equationsestimatesexistenceglobalquasilinearsomewavecoefficients
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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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