Elliptic and hypoelliptic operators

Pseudo Differential Operators - Lecture Notes in Mathematics ◽

10.1007/bfb0101250 ◽

1974 ◽

pp. 45-57

Author(s):

Michael Taylor

Keyword(s):

Hypoelliptic Operators

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On the Gevrey index for some hypoelliptic operators

Journal of Mathematics of Kyoto University ◽

10.1215/kjm/1250520874 ◽

1986 ◽

Vol 26 (3) ◽

pp. 387-402

Author(s):

Takashi Ōkaji

Keyword(s):

Hypoelliptic Operators

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Generalized Sobolev–Morrey estimates for hypoelliptic operators on homogeneous groups

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas ◽

10.1007/s13398-021-01009-3 ◽

2021 ◽

Vol 115 (2) ◽

Author(s):

V. S. Guliyev

Keyword(s):

Hypoelliptic Operators ◽

Homogeneous Groups ◽

Morrey Estimates

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Gevrey Hypoellipticity of p-Powers of Non-Hypoelliptic Operators

Advances in Pseudo-Differential Operators ◽

10.1007/978-3-0348-7840-1_4 ◽

2004 ◽

pp. 77-90

Author(s):

Giuseppe De Donno

Keyword(s):

Hypoelliptic Operators

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Integral transforms, connected with complex powers of second order hypoelliptic operators with constant coefficients

Integral Transforms and Special Functions ◽

10.1080/10652460108819321 ◽

2001 ◽

Vol 11 (4) ◽

pp. 303-326

Author(s):

Anna V. Abramyan ◽

Vladimir A. Nogin

Keyword(s):

Integral Transforms ◽

Second Order ◽

Hypoelliptic Operators ◽

Constant Coefficients ◽

Complex Powers

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ASYMPTOTICS OF THE EIGENVALUES OF HYPOELLIPTIC OPERATORS ON A CLOSED MANIFOLD

Mathematics of the USSR-Sbornik ◽

10.1070/sm1983v045n02abeh001002 ◽

1983 ◽

Vol 45 (2) ◽

pp. 169-189 ◽

Cited By ~ 1

Author(s):

V I Bezyaev

Keyword(s):

Closed Manifold ◽

Hypoelliptic Operators ◽

Asymptotics Of The Eigenvalues

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Some Classes of (Micro-)Hypoelliptic Operators

The Analysis of Linear Partial Differential Operators III - Classics in Mathematics ◽

10.1007/978-3-540-49938-1_7 ◽

2007 ◽

pp. 348-384

Author(s):

Lars Hörmander

Keyword(s):

Hypoelliptic Operators

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Multi-Anisotropic Gevrey Regularity of Hypoelliptic Operators

New Developments in Pseudo-Differential Operators ◽

10.1007/978-3-7643-8969-7_12 ◽

2008 ◽

pp. 265-273

Author(s):

C. Bouzar ◽

A. Dali

Keyword(s):

Hypoelliptic Operators ◽

Gevrey Regularity

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On the asymptotic behavior of resolvent kernels and spectral functions for some class of hypoelliptic operators

Proceedings of the Japan Academy ◽

10.3792/pja/1195519113 ◽

1974 ◽

Vol 50 (1) ◽

pp. 63-66 ◽

Cited By ~ 1

Author(s):

Akira Tsutsumi

Keyword(s):

Asymptotic Behavior ◽

Spectral Functions ◽

Hypoelliptic Operators ◽

Resolvent Kernels

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The uncertainty principle and hypoelliptic operators

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1195175866 ◽

1987 ◽

Vol 23 (6) ◽

pp. 955-964 ◽

Cited By ~ 5

Author(s):

Yoshinori Morimoto

Keyword(s):

Uncertainty Principle ◽

Hypoelliptic Operators

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Comparison of iterates of a class of differential operators in Roumieu spaces

Publications de l Institut Mathematique ◽

10.2298/pim1715261c ◽

2017 ◽

Vol 101 (115) ◽

pp. 261-266

Author(s):

Rachid Chaili ◽

Tayeb Mahrouz

Keyword(s):

Differential Operators ◽

Hypoelliptic Operators ◽

Constant Coefficients

Considering a class of differential operators with constant coefficients including the hypoelliptic operators, we show that the comparison of the operators implies the inclusion between their spaces of Roumieu vectors.

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