Endpoint Strichartz estimates for the Klein-Gordon equation in two space dimensions and some applications

DOI10.1016/j.matpur.2010.10.001zbMath1213.35151OpenAlexW2010381532MaRDI QIDQ619891

Tohru Ozawa, Jun Kato

Publication date: 18 January 2011

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2010.10.001

zbMATH Keywords

polar coordinatestwo space dimensionsangular regularitycubic nonlinear Klein-Gordon equation

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Wave equation (35L05) A priori estimates in context of PDEs (35B45) Second-order semilinear hyperbolic equations (35L71)

Related Items (7)

Global restriction estimates for elliptic hyperboloids ⋮ Well-posedness for the Cauchy problem of the Klein-Gordon-Zakharov system in four and more spatial dimensions ⋮ Restriction inequalities for the hyperbolic hyperboloid ⋮ The cubic Dirac equation: small initial data in \(H^1(\mathbb R^3)\) ⋮ Dispersive estimates for the wave and the Klein-Gordon equations in large time inside the Friedlander domain ⋮ Extremizers for adjoint Fourier restriction on hyperboloids: the higher dimensional case ⋮ Nonexistence of extremals for the adjoint restriction inequality on the hyperboloid

Cites Work

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