The uncertainty principle and hypoelliptic operators

DOI10.2977/prims/1195175866zbMath0658.35040OpenAlexW2015668900MaRDI QIDQ1111765

Yoshinori Morimoto

Publication date: 1987

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195175866

zbMATH Keywords

hypoellipticdegenerate elliptic

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Degenerate elliptic equations (35J70) Second-order elliptic equations (35J15)

Related Items

The Boltzmann equation without angular cutoff ⋮ Uncertainty principle and regularity for Boltzmann type equations ⋮ Uncertainty principle and kinetic equations ⋮ Global existence and full regularity of the Boltzmann equation without angular cutoff ⋮ Regularizing effect and local existence for the non-cutoff Boltzmann equation ⋮ Estimates for degenerate Schrödinger operators and an application for infinitely degenerate hypoelliptic operators ⋮ Asymptotic distribution of eigenvalues of Schrödinger operators with nonclassical potentials

Cites Work

• Unnamed Item
• A criterion for hypoellipticity of second order differential operators
• Criteria for hypoellipticity of differential operators
• Hypoellipticity for infinitely degenerate elliptic operators
• Hypoelliptic differential operators and nilpotent groups
• Non-hypoellipticity for degenerate elliptic operators
• Hypoelliptic second order differential equations
• The uncertainty principle
• The uncertainty principle and sharp gårding inequalities