Inequalities for spherically symmetric solutions of the wave equation

DOI10.1007/BF02571912zbMath0828.35072MaRDI QIDQ1894822

Andreas Seeger, Detlef Müller

Publication date: 4 January 1996

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174737

zbMATH Keywords

radial function\(L^ p\)-estimate

Mathematics Subject Classification ID

Wave equation (35L05) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (7)

Two-Weight Mixed Norm Estimates for a Generalized Spherical Mean Radon Transform Acting on Radial Functions ⋮ Endpoint estimates and optimality for the generalized spherical maximal operator on radial functions ⋮ Strichartz estimates for the Schrödinger equation with radial data ⋮ Riesz means associated with certain product type convex domain ⋮ Weak type estimates for maximal operators with a cylindric distance function ⋮ Estimates for radial solutions to the wave equation ⋮ Weak type estimates for cone multipliers on 𝐻^{𝑝} spaces, 𝑝<1

Cites Work

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• On the Littlewood-Paley and Marcinkiewicz functions in higher dimensions
• \(L^p\) estimates for the waves equation
• Propagation of singularities and maximal functions in the plane
• Wave front sets, local smoothing and Bourgain's circular maximal theorem
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• Fourier integral operators. I
• The multiplier problem for the ball
• Local Smoothing of Fourier Integral Operators and Carleson-Sjolin Estimates
• Some Maximal Inequalities

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