Global low regularity solutions of quasi-linear wave equations

zbMath1160.35054arXivmath/0701775MaRDI QIDQ955884

Yi Zhou, Zhen Lei

Publication date: 24 November 2008

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701775

zbMATH Keywords

characteristic methodHardy-Littlewood maximal functionsend-point Strichartz estimateradical symmetric initial datathree space dimensions.

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70)

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Scattering for the quasilinear wave equations with null conditions in two dimensions ⋮ Sharp local well-posedness for quasilinear wave equations with spherical symmetry ⋮ Global quantitative stability of wave equations with strong and weak dampings ⋮ Global solutions to systems of quasilinear wave equations with low regularity data and applications ⋮ On the blowup of classical solutions to the 3-D pressure-gradient systems ⋮ Global existence for some 4-D quasilinear wave equations with low regularity ⋮ Space-time \(L^{2}\) estimates, regularity and almost global existence for elastic waves

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