Global existence for some 4-D quasilinear wave equations with low regularity (Q1741943)
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scientific article
| Language | Label | Description | Also known as |
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| English | Global existence for some 4-D quasilinear wave equations with low regularity |
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Global existence for some 4-D quasilinear wave equations with low regularity (English)
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11 April 2018
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In this paper, the authors prove the global existence for some 4-D quasilinear wave equations with small and 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. This concise paper is a good choice for the people who want to learn how to study the low regularity solutions of nonlinear wave equations in the radial case by using the local energy estimates.
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local energy estimates
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trace estimates
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small and radial data
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