Abstract
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.
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Liu, M.Y., Wang, C.B. Global Existence for Some 4-D Quasilinear Wave Equations with Low Regularity. Acta. Math. Sin.-English Ser. 34, 629–640 (2018). https://doi.org/10.1007/s10114-017-7138-7
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DOI: https://doi.org/10.1007/s10114-017-7138-7