The small data solutions of general 3-D quasilinear wave equations. II.

DOI10.1016/j.jde.2016.04.002zbMath1346.35130OpenAlexW2341463128MaRDI QIDQ281675

Bingbing Ding, Ingo Witt, Hui Cheng Yin

Publication date: 11 May 2016

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

Full work available at URL: https://doi.org/10.1016/j.jde.2016.04.002

zbMATH Keywords

lifespanNash-Moser-Hörmander iterationweak null condition

Mathematics Subject Classification ID

Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order quasilinear hyperbolic equations (35L72)

Related Items

The Small Data Solutions of General 3D Quasilinear Wave Equations. I ⋮ Small data solutions of 2-D quasilinear wave equations under null conditions ⋮ Small data solutions of 3-D quasilinear wave equations under null condition ⋮ On the curvature blow-up phenomena for the Fokas-Qiao-Xia-Li equation ⋮ Global existence and blowup of smooth solutions of 3-D potential equations with time-dependent damping ⋮ Global smooth axisymmetric solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity ⋮ On the critical exponent \(p_c\) of the 3D quasilinear wave equation \(-(1 + ( \partial_t \phi )^p) \partial_t^2 \phi + \Delta \phi = 0\) with short pulse initial data. I: Global existence ⋮ Almost global existence for 3-D quasilinear wave equations in exterior domains with Neumann boundary conditions ⋮ Global Multidimensional Shock Waves of 2-Dimensional and 3-Dimensional Unsteady Potential Flow Equations ⋮ Global smooth solutions of 3-D null-form wave equations in exterior domains with Neumann boundary conditions ⋮ Blowup time and blowup mechanism of small data solutions to general 2-D quasilinear wave equations ⋮ Global small data smooth solutions of 2-D null-form wave equations with non-compactly supported initial data

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