Strichartz estimates and maximal operators for the wave equation in \(\mathbb R^3\)

DOI10.1016/j.jfa.2013.11.010zbMath1292.35063arXiv1212.0568OpenAlexW1979472688MaRDI QIDQ2452456

Marius Beceanu, Michael Goldberg

Publication date: 3 June 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.0568

zbMATH Keywords

maximal functionsmall initial datasemilinear wave equationsdispersive estimatesquintic or higher monomial nonlinearities

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Wave equation (35L05) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Related Items (13)

Dispersive and Strichartz estimates for the three-dimensional wave equation with a scaling-critical class of potentials ⋮ Attractors of Hamilton nonlinear PDEs ⋮ Dispersive Estimates for Four Dimensional Schrödinger and Wave Equations with Obstructions at Zero Energy ⋮ Wave equations with moving potentials ⋮ Attractors of nonlinear Hamiltonian partial differential equations ⋮ Strichartz estimates for the Klein-Gordon equation in \(\mathbb{R}^{3+1}\) ⋮ Spectral multipliers and wave propagation for Hamiltonians with a scalar potential ⋮ Decay estimates for the wave equation in two dimensions ⋮ Schrödinger dispersive estimates for a scaling-critical class of potentials ⋮ Time decay estimates for the wave equation with potential in dimension two ⋮ Strichartz Estimates for Wave Equations with Charge Transfer Hamiltonians ⋮ Multisolitons for the defocusing energy critical wave equation with potentials ⋮ Reversed Strichartz estimates for wave on non-trapping asymptotically hyperbolic manifolds and applications

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