𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hyperfunctions and (analytic) hypoellipticity

✍ Scribed by Paulo D. Cordaro; Nicholas Hanges

Book ID
105873537
Publisher
Springer
Year
2008
Tongue
English
Weight
181 KB
Volume
344
Category
Article
ISSN
0025-5831

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Analytic Hypoellipticity for Generalized
Analytic Hypoellipticity for Generalized Baouendi-Goulaouic Operators
✍ N. Hanges; A.A. Himonas πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 442 KB

This work studies the analytic regularity of solutions to certain second-order equations defined by a sum of squares of vector fields. It describes a method for constructing singular solutions to generalized Baouendi-Goulaouic-type operators. This construction is quite explicit and it involves the s

Global analytic, Gevrey and C∞ hypoellip
Global analytic, Gevrey and C∞ hypoellipticity on the 3-torus
✍ A. Alexandrou Himonas; Gerson Petronilho; L. A. Carvalho dos Santos πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 223 KB

## Abstract It is proved that a class of sub‐Laplacians on the 3‐dimensional torus is globally analytic, Gevrey and __C__^∞^ hypoelliptic if and only if either a Diophantine condition holds or there is a point of finite type for the vector fields defining the operator under consideration. This work