Dunkl heat semigroup and applications

DOI10.1080/00036811.2012.715152zbMath1273.35092OpenAlexW2160433033MaRDI QIDQ2846771

Hatem Mejjaoli

Publication date: 3 September 2013

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

Full work available at URL: https://doi.org/10.1080/00036811.2012.715152

zbMATH Keywords

local and global well-posednessStrichartz estimatesDunkl-Besov spacesnonlinear Dunkl heat equation

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Initial value problems for linear higher-order PDEs (35G10)

Related Items (7)

Generalized Dunkl-Lipschitz spaces ⋮ Direct and inverse problems for time-fractional heat equation generated by Dunkl operator ⋮ Restriction theorem for the Fourier-Dunkl transform and its applications to Strichartz inequalities ⋮ Generalized Lorentz spaces and applications ⋮ Existence of extremals of Dunkl-type Sobolev inequality and of Stein-Weiss inequality for Dunkl Riesz potential ⋮ Sobolev-type inequalities for Dunkl operators ⋮ Upper and lower bounds for Littlewood–Paley square functions in the Dunkl setting

Cites Work

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• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
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• The Dunkl transform
• Generalized Besov spaces and their applications
• Nonsymmetric Jack polynomials and integral kernels
• A uniform proof of the Macdonald-Mehta-Opdam identity for finite Coxeter groups
• Convolution operator and maximal function for the Dunkl transform
• Global well-posedness and scattering for a class of nonlinear Dunkl-Schrödinger equations
• Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations
• Endpoint Strichartz estimates
• Dunkl Operator Formalism for Quantum Many-Body Problems Associated with Classical Root Systems
• An L^P version of Hardy's theorem for the Dunkl transform
• Hypoellipticity and hypoanalyticity of the Dunkl Laplacian operator
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators

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