Weighted HLS inequalities for radial functions and Strichartz estimates for wave and Schrödinger equations

zbMath1183.35068arXiv0711.1933MaRDI QIDQ733322

Yuki Kurokawa, Kunio Hidano

Publication date: 15 October 2009

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.1933

zbMATH Keywords

Hardy-Littlewood-SobolevHardy-Littlewood maximal inequalityMorawetz-type estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Wave equation (35L05) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40)

Related Items (11)

Potential operators associated with Hankel and Hankel-Dunkl transforms ⋮ On weighted inequalities for fractional integrals of radial functions ⋮ Fractional integrals on radial functions with applications to weighted inequalities ⋮ Stein-Weiss inequalities for radial local Morrey spaces ⋮ Remark on the Strichartz estimates in the radial case ⋮ Stein-Weiss and Caffarelli-Kohn-Nirenberg inequalities with angular integrability ⋮ Estimates for the kinetic transport equation in hyperbolic Sobolev spaces ⋮ Higher-order interpolation inequalities with weights for radial functions ⋮ Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schrödinger and wave equations ⋮ Small solutions to semi-linear wave equations with radial data of critical regularity ⋮ Stein-Weiss inequality for local mixed radial-angular Morrey spaces

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