Nonlinear eigenvalues and analytic hypoellipticity

DOI10.1016/S0022-1236(03)00105-8zbMath1053.35045arXivmath/0211308OpenAlexW1964255118MaRDI QIDQ1876258

Bernard Helffer, Sagun Chanillo, A. A. Laptev

Publication date: 16 August 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0211308

zbMATH Keywords

Schatten classesTrèves conjectureLidskii theorem

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Hypoelliptic equations (35H10)

Related Items (14)

The spectral analysis of the interior transmission eigenvalue problem for Maxwell's equations ⋮ Analytic regularity for solutions to sums of squares: an assessment ⋮ Asymptotic expansion for nonlinear eigenvalue problems ⋮ Nonlinear eigenvalue approximation for compact operators ⋮ Regularity of a class of subLaplacians on the 3-dimensional torus ⋮ Bounds on eigenvalues of perturbed Lamé operators with complex potentials ⋮ Analytic hypoellipticity for sums of squares and the Treves conjecture ⋮ Unnamed Item ⋮ On Gevrey regularity of globally \(C^{\infty}\) hypoelliptic operators ⋮ On the Gevrey hypo-ellipticity of sums of squares of vector fields. ⋮ Semiclassical analysis of a nonlinear eigenvalue problem and nonanalytic hypoellipticity ⋮ Hardy inequality and weighted heat trace ⋮ Global analytic, Gevrey and C∞ hypoellipticity on the 3-torus ⋮ On a new method of proving Gevrey hypoellipticity for certain sums of squares

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