Nonlinear Dunkl-wave equations

DOI10.1080/00036811.2010.495334zbMath1204.35121OpenAlexW2126113611WikidataQ58258986 ScholiaQ58258986MaRDI QIDQ3163658

Hatem Mejjaoli

Publication date: 26 October 2010

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2010.495334

zbMATH Keywords

energy estimatelocal and global well-posednessStrichartz estimatesDunkl operators

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

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Cites Work

• The global Cauchy problem for the nonlinear Klein-Gordon equation
• The wave equation for Dunkl operators
• Strichartz estimates for the Dunkl wave equation and application
• Generalized Hermite polynomials and the heat equation for Dunkl operators
• The Dunkl transform
• The global Cauchy problem for the critical nonlinear wave equation
• Oscillations of concentration effects in semilinear dispersive wave equations
• Exact operator solution of the Calogero-Sutherland model
• Nonsymmetric Jack polynomials and integral kernels
• Positivity of Dunkl's intertwining operator
• Convolution operator and maximal function for the Dunkl transform
• Global well-posedness and scattering for a class of nonlinear Dunkl-Schrödinger equations
• Integral Kernels with Reflection Group Invariance
• Common algebraic structure for the Calogero - Sutherland models
• The dunkel intertwining operator on spaces of functions and distributions and integral representation of its dual
• Dunkl Operator Formalism for Quantum Many-Body Problems Associated with Classical Root Systems
• Hypoellipticity and hypoanalyticity of the Dunkl Laplacian operator
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
• A positive radial product formula for the Dunkl kernel