\(H^{s}\)-global well-posedness for semilinear wave equations

DOI10.1016/S0022-247X(03)00305-6zbMath1024.35079MaRDI QIDQ1405316

Bo Zhang, Chang Xing Miao

Publication date: 25 August 2003

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

zbMATH Keywords

Besov spaceStrichartz estimate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (7)

Global existence for 2D nonlinear Schrödinger equations via high --- low frequency decomposition method ⋮ Global analysis for rough solutions to the Davey-Stewartson system ⋮ On global solution to the Klein-Gordon-Hartree equation below energy space ⋮ On control of Sobolev norms for some semilinear wave equations with localized data ⋮ On existence and uniqueness of solutions for semilinear fractional wave equations ⋮ Global solutions of the Klein-Gordon-Schrödinger system with rough data in \(\mathbb {R}^{2+1}\) ⋮ Global existence for rough solutions of a fourth-order nonlinear wave equation

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