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Global Existence for Some 4-D Quasilinear Wave Equations with Low Regularity

Global Existence for Some 4-D Quasilinear Wave Equations with Low Regularity
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摘要 In this paper, we prove the global existence for some 4-D quasilinear wave equations with small, radial data in H3 × H2. The main idea is to exploit local energy estimates with variable coefficients, together with the trace estimates. In this paper, we prove the global existence for some 4-D quasilinear wave equations with small, radial data in H3 × H2. The main idea is to exploit local energy estimates with variable coefficients, together with the trace estimates.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2018年第4期629-640,共12页 数学学报(英文版)
基金 supported in part by National Support Program for Young Top-Notch Talents
关键词 Local energy estimates trace estimates Local energy estimates, trace estimates
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