The positivity of Schrödinger operators and the hypoellipticity of second order degenerate elliptic operators

zbMath0891.35025MaRDI QIDQ1376545

Tatsushi Morioka, Yoshinori Morimoto

Publication date: 18 December 1997

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

infinitely degenerate elliptic operators

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Schrödinger operator, Schrödinger equation (35J10) Hypoelliptic equations (35H10)

Related Items (11)

The Boltzmann equation without angular cutoff ⋮ Existence and regularity of solutions to semi-linear Dirichlet problem of infinitely degenerate elliptic operators with singular potential term ⋮ Uncertainty principle and regularity for Boltzmann type equations ⋮ Multiplicity and regularity of solutions for infinitely degenerate elliptic equations with a free perturbation ⋮ Uncertainty principle and kinetic equations ⋮ Global existence and blow-up of solutions for infinitely degenerate semilinear pseudo-parabolic equations with logarithmic nonlinearity ⋮ Global existence and full regularity of the Boltzmann equation without angular cutoff ⋮ Regularizing effect and local existence for the non-cutoff Boltzmann equation ⋮ The existence and regularity of multiple solutions for a class of infinitely degenerate elliptic equations ⋮ Asymptotic behavior and blow-up of solutions for infinitely degenerate semilinear parabolic equations with logarithmic nonlinearity ⋮ Existence and regularity of multiple solutions for infinitely degenerate nonlinear elliptic equations with singular potential

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