On the wave equation associated to the Hermite and the twisted Laplacian

DOI10.1007/s00041-009-9104-yzbMath1191.35076OpenAlexW1966209188MaRDI QIDQ967576

Vittoria Pierfelice, Fulvio Ricci, Piero D'Ancona

Publication date: 30 April 2010

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.400.5605

zbMATH Keywords

fractional powers\(L^1\)-\(L^\infty\) dispersive estimates

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15) Fractional partial differential equations (35R11)

Related Items (7)

Dispersive and Strichartz estimates for the three-dimensional wave equation with a scaling-critical class of potentials ⋮ Decay estimates for a class of wave equations on the Heisenberg group ⋮ On sharp estimates for Schrödinger groups of fractional powers of nonnegative self-adjoint operators ⋮ Weighted \(L^p\) estimates for powers of selfadjoint operators ⋮ WEIGHTED BESOV AND TRIEBEL–LIZORKIN SPACES ASSOCIATED WITH OPERATORS AND APPLICATIONS ⋮ Global regularity of second order twisted differential operators ⋮ On the flows associated to selfadjoint operators on metric measure spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Function spaces associated with Schrödinger operators: the Pöschl-Teller potential
• The global Cauchy problem for the nonlinear Schrödinger equation revisited
• \(L^p\)-estimates for the wave equation on the Heisenberg group
• \(L^p\) estimates for the waves equation
• Analysis of second order differential operators on Heisenberg groups. I
• Schrödinger evolution equations with magnetic fields
• Regularity properties of Fourier integral operators
• Harmonic analysis on the Heisenberg group
• \(L^p\) eigenfunction bounds for the Hermite operator
• Spectral projections for the twisted Laplacian
• Riesz transforms and the wave equation for the hermite operator
• Wave Kernels of the Twisted Laplacian
• Endpoint Strichartz estimates
• Triebel-Lizorkin spaces associated with Laguerre and Hermite expansions
• 𝐿^{𝑝} boundedness of Fourier integral operators
• Triebel-Lizorkin spaces for Hermite expansions

This page was built for publication: On the wave equation associated to the Hermite and the twisted Laplacian