On weighted 𝐿² estimates for solutions of the wave equation

DOI10.1090/proc/12951zbMath1339.35066arXiv1312.7415OpenAlexW2963786191MaRDI QIDQ2802122

Ihyeok Seo, Youngwoo Koh

Publication date: 25 April 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.7415

zbMATH Keywords

bilinear interpolationLittlewood-Paley theoremHardy-Littlewood maximal functionsMorrey-Campanato class

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Wave equation (35L05) A priori estimates in context of PDEs (35B45)

Related Items (4)

Strichartz estimates for Schrödinger equations in weighted \(L^2\) spaces and their applications ⋮ On Morawetz estimates with time-dependent weights for the Klein-Gordon equation ⋮ An \(L^2\)-identity and pinned distance problem ⋮ Strichartz and smoothing estimates in weighted L^2 spaces and their applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strichatz inequalities with weights in Morrey-Campanato classes
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• Global smoothing properties of generalized Schrödinger equations
• On weighted \(L^2\) estimates of solutions to wave equations
• Local regularity of solutions to wave equations with time-dependent potentials
• Carleman estimates for the Schrödinger operator and applications to unique continuation
• Weighted Strichartz estimates with angular regularity and their applications
• Unique Continuation for Δ+ υ and the C. Fefferman-Phong Class
• On abstract Strichartz estimates and the Strauss conjecture for nontrapping obstacles
• Local smoothing for Kato potentials in three dimensions
• Another Characterization of BMO
• Littlewood-Paley and Multiplier Theorems on Weighted L p Spaces
• Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
• Endpoint Strichartz estimates
• SOME EXAMPLES OF SMOOTH OPERATORS AND THE ASSOCIATED SMOOTHING EFFECT
• Modern Fourier Analysis
• Fourier transforms of surface-carried measures and differentiability of surface averages
• Time decay for the nonlinear Klein-Gordon equation
• Regularity of solutions to the free Schrödinger equation with radial initial data

This page was built for publication: On weighted 𝐿² estimates for solutions of the wave equation