Geometric analysis on generalized Hermite operators

DOI10.1016/j.aam.2011.02.005zbMath1233.35072OpenAlexW2045823545MaRDI QIDQ719786

Sheng-Ya Feng, Der-Chen E. Chang

Publication date: 11 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.aam.2011.02.005

zbMATH Keywords

heat kernelHamiltonian functionHermite operatorLagrange equation

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (6)

Heat kernels for generalized Ornstein–Uhlenbeck operators ⋮ Periodic solutions for Hamiltonian equation associated with Gaussian potential ⋮ Variational analysis for generalized Kolmogorov operators ⋮ Geometric analysis on Ornstein-Uhlenbeck operators with quadratic potentials ⋮ Evolution equations and diffusion operators for demographic dynamics ⋮ Initial value problem and the heat kernel for a mixed type operator

Cites Work

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• Fundamental solutions for Hermite and subelliptic operators
• Hypoelliptic second order differential equations
• A Note on fundamental solutions
• On a Geometric Formula for the Fundamental Solution of Subelliptic Laplacians

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