Strichartz estimates for the Dunkl wave equation and application

DOI10.1016/J.JMAA.2008.05.004zbMath1149.35017OpenAlexW2002624620MaRDI QIDQ933466

Hatem Mejjaoli

Publication date: 21 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.05.004

zbMATH Keywords

Strichartz estimateDunkl kernelDunkl operatorsDunkl convolutionsDunkl wave equation

Mathematics Subject Classification ID

Wave equation (35L05) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15) Hyperbolic equations and hyperbolic systems (35L99)

Related Items (10)

Nonlinear Dunkl-wave equations ⋮ Global well-posedness and scattering for a class of nonlinear Dunkl-Schrödinger equations ⋮ Nonlinear generalized Dunkl-wave equations and applications ⋮ Restriction theorem for the Fourier-Dunkl transform. I: Cone surface ⋮ \(L^p-L^q\) estimates for the solution of the Dunkl wave equation ⋮ Restriction theorem for the Fourier-Dunkl transform and its applications to Strichartz inequalities ⋮ Generalized Lorentz spaces and applications ⋮ Dunkl-Schrödinger semigroups and applications ⋮ Dunkl heat semigroup and applications ⋮ Generalized heat equation and applications

Cites Work

• Unnamed Item
• Dunkl hyperbolic equations
• Space-time decay for solutions of wave equations
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• The Dunkl transform
• Generalized Strichartz inequalities for the wave equation
• Differential-Difference Operators Associated to Reflection Groups
• Integral Kernels with Reflection Group Invariance
• Endpoint Strichartz estimates
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
• A positive radial product formula for the Dunkl kernel

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