Regularity properties of wave propagation on conic manifolds and applications to spectral multipliers

DOI10.1006/aima.2001.1989zbMath1027.58022OpenAlexW1967776335MaRDI QIDQ5946163

Andreas Seeger, Detlef Müller

Publication date: 29 November 2001

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/b35353d0d1bdb59a776d76fd50bb5757fc934c6e

zbMATH Keywords

wave equationconic manifoldsspectral multipiers

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Harmonic analysis in several variables (42B99) Initial value problems for second-order hyperbolic equations (35L15) Hyperbolic equations on manifolds (58J45)

Related Items

Restriction estimates in a conical singular space: wave equation ⋮ Linear adjoint restriction estimates for paraboloid ⋮ Average decay estimates for Fourier transforms of measures supported on curves ⋮ \(L_p\)-estimates of the wave equation on varieties with a conic singularity ⋮ Characterizations of Hankel multipliers ⋮ Radial Fourier multipliers in high dimensions

Cites Work

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• On radial weights for the spherical summation operator
• Necessary conditions for quasiradial Fourier multipliers
• The disc multiplier
• Transference principles for radial multipliers
• Propagation of singularities and maximal functions in the plane
• Radial weights and mixed norm inequalities for the disc multiplier
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• Degenerate Fourier integral operators in the plane
• Classes of singular integral operators along variable lines
• Local smoothing type estimates on \(L^p\) for large \(p\)
• Partial differential equations. 3: Nonlinear equations
• A bilinear approach to cone multipliers. I: Restriction estimates
• Inequalities for strongly singular convolution operators
• The multiplier problem for the ball
• Oscillatory integrals and multipliers on FL\(^p\)
• Radial solutions to the wave equation
• On the diffraction of waves by conical singularities. I
• Local Smoothing of Fourier Integral Operators and Carleson-Sjolin Estimates
• On L ^p Bounds for Kakeya Maximal Functions and the Minkowski Dimension in R²
• Long-time existence for small amplitude semilinear wave equations
• A note on Restriction of the Fourier Transform to Spheres
• Oscillatory integrals and multiplier problem for the disc

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