Small data solutions of 3-D quasilinear wave equations under null condition

DOI10.1016/j.jmaa.2018.06.073zbMath1397.35157OpenAlexW2810879856WikidataQ129597145 ScholiaQ129597145MaRDI QIDQ1659291

Yingbo Liu

Publication date: 15 August 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.06.073

zbMATH Keywords

global existenceweighted energy estimatenull framedecay estimates of low derivativesenergy estimates for high derivatives

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order hyperbolic equations (35L15) Second-order quasilinear hyperbolic equations (35L72)

Cites Work

• The small data solutions of general 3-D quasilinear wave equations. II.
• Blowup of classical solutions for a class of 3-D quasilinear wave equations with small initial data.
• The global stability of Minkowski space-time in harmonic gauge
• Global existence for the Einstein vacuum equations in wave coordinates
• The Small Data Solutions of General 3D Quasilinear Wave Equations. I
• Global solutions of nonlinear hyperbolic equations for small initial data
• Blow-up for quasi-linear wave equations in three space dimensions
• Global solutions of nonlinear wave equations
• Global solutions of quasilinear wave equations
• On the lifespan of solutions of nonlinear wave equations with small initial data
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