Localization and vector spherical harmonics

DOI10.1016/j.jde.2015.09.041zbMath1334.33030OpenAlexW1952838452MaRDI QIDQ890210

James H. von Brecht

Publication date: 9 November 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.09.041

zbMATH Keywords

dynamical systemsharmonic polynomialsspectral theoryspecial functionsnon-local equations

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Spherical harmonics (33C55)

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Cites Work

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• Dimensionality of local minimizers of the interaction energy
• A priori estimates for integro-differential operators with measurable kernels
• Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
• Geometric theory of semilinear parabolic equations
• On soccer balls and linearized inverse statistical mechanics
• Spectral and dynamical stability of nonlinear waves
• Ring patterns and their bifurcations in a nonlocal model of biological swarms
• Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators
• Nonlocal interactions by repulsive-attractive potentials: radial ins/stability
• Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
• Stability and clustering of self-similar solutions of aggregation equations
• A Generalized Birkhoff–Rott Equation for Two-dimensional Active Scalar Problems
• PREDICTING PATTERN FORMATION IN PARTICLE INTERACTIONS
• Nonlinear Diffusion with Fractional Laplacian Operators
• Some free boundary problems involving non-local diffusion and aggregation
• A Primer of Swarm Equilibria
• Swarm dynamics and equilibria for a nonlocal aggregation model
• Stability Analysis of Flock and Mill Rings for Second Order Models in Swarming
• Nonlinear Stability through Algebraically Decaying Point Spectrum: Applications to Nonlocal Interaction Equations
• Self-Similar Blowup Solutions to an Aggregation Equation in $R^n$
• Holder estimates for solutions of integro differential equations like the fractional laplace
• Spherical Harmonics
• The Theory of Vector Spherical Harmonics