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

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.

arXiv comment12 pages, to appear in Acta Mathematica Sinica, English Series

References in corpus (3)

• The Strauss conjecture on Kerr black hole backgrounds
• Almost global existence for some semilinear wave equations with almost critical regularity
• Weighted fractional chain rule and nonlinear wave equations with minimal regularity