Global hypoellipticity and simultaneous approximability
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Publication:1968734
DOI10.1006/jfan.1999.3524zbMath0943.35013OpenAlexW2080961448MaRDI QIDQ1968734
A. Alexandrou Himonas, Gerson Petronilho
Publication date: 21 March 2000
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jfan.1999.3524
\(N\)-dimensional torusDiophantine approximation properties of the coefficientssum of squares operator
Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Hypoelliptic equations (35H10)
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Cites Work
- An example of a globally hypoelliptic operator
- The global hypoellipticity of a class of degenerate elliptic-parabolic operators
- Hypoelliptic differential operators and nilpotent groups
- On global hypoellipticity of degenerate elliptic operators
- An extension of Hörmander's theorem for infinitely degenerate second-order operators
- Globally hypoelliptic systems of vector fields
- Hypoelliptic second order differential equations
- Global analytic regularity for sums of squares of vector fields
- Global (and local) analyticity for second order operators constructed from rigid vector fields on products of tori
- Orbits of Families of Vector Fields and Integrability of Distributions
- Global Hypoellipticity and Liouville Numbers
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