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On global well-posedness for defocusing cubic wave equation

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Publication:3419721
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DOI10.1155/IMRN/2006/54873zbMath1123.35029OpenAlexW2085583351MaRDI QIDQ3419721

Jean-Yves Chemin, Hajer Bahouri

Publication date: 7 February 2007

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/imrn/2006/54873


zbMATH Keywords

semilinear wave equationhomogeneous Sobolev spacenonlinear interpolationlogarithmic Strichartz estimates


Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)


Related Items (6)

Scattering for defocusing energy subcritical nonlinear wave equations ⋮ Global existence and well-posedness for the FENE dumbbell model of polymeric flows ⋮ On global solution to the Klein-Gordon-Hartree equation below energy space ⋮ Probabilistic well-posedness for the cubic wave equation ⋮ On control of Sobolev norms for some semilinear wave equations with localized data ⋮ Global existence for rough solutions of a fourth-order nonlinear wave equation




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