subelliptic operators
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Estimates of eigenvalues for subelliptic operators on compact manifold

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2019.09.012 ◽

2019 ◽

Vol 131 ◽

pp. 64-87

Author(s):

Hua Chen ◽

Hongge Chen

Keyword(s):

Compact Manifold ◽

Subelliptic Operators

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Lower Bounds of Dirichlet Eigenvalues for General Grushin Type Bi-Subelliptic Operators

Analysis in Theory and Applications ◽

10.4208/ata.oa-0002 ◽

2019 ◽

Vol 35 (1) ◽

pp. 66-84

Author(s):

Hua Chen

Keyword(s):

Lower Bounds ◽

Dirichlet Eigenvalues ◽

Subelliptic Operators

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An invariant Harnack inequality for a class of subelliptic operators under global doubling and Poincaré assumptions, and applications

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2017.11.044 ◽

2018 ◽

Vol 460 (1) ◽

pp. 302-320 ◽

Author(s):

Erika Battaglia ◽

Andrea Bonfiglioli

Keyword(s):

Harnack Inequality ◽

Subelliptic Operators

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Lower Bounds For Subelliptic Operators

Unpublished Manuscripts ◽

10.1007/978-3-319-69850-2_24 ◽

2018 ◽

pp. 257-290

Author(s):

Lars Hörmander

Keyword(s):

Lower Bounds ◽

Subelliptic Operators

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Lower bounds of eigenvalues for a class of bi-subelliptic operators

Journal of Differential Equations ◽

10.1016/j.jde.2017.02.018 ◽

2017 ◽

Vol 262 (12) ◽

pp. 5860-5879 ◽

Author(s):

Hua Chen ◽

Yifu Zhou

Keyword(s):

Lower Bounds ◽

Subelliptic Operators

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Differential Harnack inequalities and Perelman type entropy formulae for subelliptic operators

Nonlinear Analysis ◽

10.1016/j.na.2017.01.015 ◽

2017 ◽

Vol 155 ◽

pp. 163-175 ◽

Author(s):

Bin Qian

Keyword(s):

Subelliptic Operators ◽

Harnack Inequalities

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The ergodic problem for some subelliptic operators with unbounded coefficients

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-016-0401-2 ◽

2016 ◽

Vol 23 (4) ◽

Author(s):

Paola Mannucci ◽

Claudio Marchi ◽

Nicoletta Tchou

Keyword(s):

Unbounded Coefficients ◽

Subelliptic Operators ◽

Ergodic Problem

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A Class of Invertible Subelliptic Operators in S(m, g)-Classes

Results in Mathematics ◽

10.1007/s00025-014-0410-6 ◽

2014 ◽

Vol 67 (3-4) ◽

pp. 431-444 ◽

Author(s):

Julio Delgado

Keyword(s):

Subelliptic Operators

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Normal families of functions for subelliptic operators and the theorems of Montel and Koebe

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2013.06.062 ◽

2014 ◽

Vol 409 (1) ◽

pp. 1-12 ◽

Author(s):

Erika Battaglia ◽

Andrea Bonfiglioli

Keyword(s):

Normal Families ◽

Subelliptic Operators

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A HAMILTONIAN APPROACH TO THE HEAT KERNEL OF A SUBLAPLACIAN ON S2n+1

Analysis and Applications ◽

10.1142/s0219530513500358 ◽

2013 ◽

Vol 11 (06) ◽

pp. 1350035 ◽

Author(s):

PETER C. GREINER

Keyword(s):

Heat Kernel ◽

Heat Kernels ◽

Hamiltonian Approach ◽

Subelliptic Operators ◽

Cauchy Riemann ◽

Classical Derivation

The heat kernel for the Cauchy–Riemann subLaplacian on S2n+1 is derived in a manner which is completely analogous to the classical derivation of elliptic heat kernels. This suggests that the classical Hamiltonian construction of elliptic heat kernels, with appropriate modifications, will yield heat kernels for subelliptic operators.

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