Fundamental solution of a higher step Grushin type operator

DOI10.1016/j.aim.2014.11.017zbMath1310.35082OpenAlexW1976903309MaRDI QIDQ482638

Kenro Furutani, Wolfram Bauer, Chisato Iwasaki

Publication date: 6 January 2015

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2014.11.017

zbMATH Keywords

nilpotent Lie groupBessel functionmodified Bessel functionsub-LaplacianWeber's second exponential integral

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Nilpotent and solvable Lie groups (22E25) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Subelliptic equations (35H20)

Related Items (13)

Representation formulae of solutions of second order elliptic inequalities ⋮ Spectral zeta function on pseudo \(H\)-type nilmanifolds ⋮ Global estimates for the fundamental solution of homogeneous Hörmander operators ⋮ From refined estimates for spherical harmonics to a sharp multiplier theorem on the Grushin sphere ⋮ \(P\)-Laplace equation for the Grushin type operator ⋮ Heat kernels for a class of hybrid evolution equations ⋮ Unnamed Item ⋮ AN APPLICATION OF THE PARTIAL MALLIAVIN CALCULUS TO BAOUENDI-GRUSHIN OPERATORS ⋮ A fundamental solution for a nonelliptic partial differential operator, II ⋮ Sub-Riemannian Geometry and Hypoelliptic Operators ⋮ Unnamed Item ⋮ Critical points and level sets of Grushin-harmonic functions in the plane ⋮ The inverse of a parameter family of degenerate operators and applications to the Kohn-Laplacian

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