The Small Data Solutions of General 3D Quasilinear Wave Equations. I

DOI10.1137/151004793zbMath1343.35168OpenAlexW2170697515MaRDI QIDQ3451746

Ding Bingbing, Liu Yingbo, Yin Huicheng

Publication date: 18 November 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/151004793

zbMATH Keywords

Poincaré inequalityglobal existenceweak null conditionweighted energy estimatenull frame

Mathematics Subject Classification ID

Second-order quasilinear hyperbolic equations (35L72)

Related Items (12)

The small data solutions of general 3-D quasilinear wave equations. II. ⋮ 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 smooth axisymmetric solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity ⋮ 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 ⋮ A Fuchsian viewpoint on the weak null condition ⋮ Global smooth solutions to 3D irrotational Euler equations for Chaplygin gases ⋮ Global small data smooth solutions of 2-D null-form wave equations with non-compactly supported initial data

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