Estimates for the wave kernel near focal points on compact manifolds

DOI10.1007/BF02921957zbMath0997.58011OpenAlexW2043135126MaRDI QIDQ5950192

Ákos Magyar

Publication date: 19 November 2002

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02921957

zbMATH Keywords

Strichartz inequality

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Pseudodifferential and Fourier integral operators on manifolds (58J40) Fourier integral operators applied to PDEs (35S30)

Related Items

𝐿^{𝑝}→𝐿^{𝑞} regularity of Fourier integral operators with caustics ⋮ The wave equation for the Bessel Laplacian

Cites Work

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• Averages of functions over hypersurfaces in \(\mathbb R^n\)
• Regularity properties of Fourier integral operators
• \(L_p\)-\(L_{p'}\)-estimates for Fourier integral operators related to hyperbolic equations
• A priori estimates for the wave equation and some applications
• Fourier integral operators. I
• Local Smoothing of Fourier Integral Operators and Carleson-Sjolin Estimates
• Estimates for the wave operator on the torus $\Pi ^n$

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