The minimum numbers of nodal domains of spherical Grushin-harmonics

DOI10.1016/j.na.2015.04.011zbMath1323.33014OpenAlexW254299840MaRDI QIDQ494194

Long Tian, Hai-Rong Liu, Xiao-Ping Yang

Publication date: 31 August 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.04.011

zbMATH Keywords

nodal setsGrushin operatornodal domains

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Spherical harmonics (33C55)

Related Items (1)

The homogeneous polynomial solutions for the Grushin operator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Eigenfunctions and nodal sets
• Carleman estimates for a subelliptic operator and unique continuation
• The growth of \(H\)-harmonic functions on the Heisenberg group
• On nodal sets and nodal domains on \(S^2\) and \(\mathbb R^2\)
• Subelliptic Cordes estimates in the Grušin plane
• Nodal sets and horizontal singular sets of ℍ-harmonic functions on the Heisenberg group
• Some remarks on spherical harmonics
• Nodal sets of solutions of elliptic and parabolic equations
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• On the number of nodal domains of random spherical harmonics
• Spherical Harmonics on the Heisenberg Group
• On the mininum number of domains in which the nodal lines of spherical harmonics divide the sphere
• Weighted sobolev-poincaré inequalities for grushin type operators
• Strong Unique Continuation Properties of Generalized Baouendi–Grushin Operators
• ON A CLASS OF ELLIPTIC PSEUDODIFFERENTIAL OPERATORS DEGENERATE ON A SUBMANIFOLD
• ON A CLASS OF HYPOELLIPTIC OPERATORS

This page was built for publication: The minimum numbers of nodal domains of spherical Grushin-harmonics