Radial Strichartz Estimates with Application to the 2-D Dirac-Klein-Gordon System

DOI10.1080/03605302.2011.632047zbMath1393.35195OpenAlexW2047062679MaRDI QIDQ4902748

Evgeni Y. Ovcharov

Publication date: 17 January 2013

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605302.2011.632047

zbMATH Keywords

wave equationspherical symmetryweighted estimatesStrichartz estimatesradialDirac-Klein-Gordontrace lemmaweighted Hardy-Littlewood-Sobolev

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) PDEs in connection with quantum mechanics (35Q40) Second-order hyperbolic equations (35L10) Dispersion theory, dispersion relations arising in quantum theory (81U30) Fractional partial differential equations (35R11) Harmonic analysis and PDEs (42B37) Systems of nonlinear higher-order PDEs (35G50)

Related Items (5)

Global well-posedness of the Maxwell-Dirac system in two space dimensions ⋮ Global solutions to systems of quasilinear wave equations with low regularity data and applications ⋮ Small data scattering for semi-relativistic equations with Hartree type nonlinearity ⋮ Generalized inhomogeneous Strichartz estimates ⋮ Space-time \(L^{2}\) estimates, regularity and almost global existence for elastic waves

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