| Title:
|
Gevrey hypoellipticity for a class of degenerated quasi-elliptic operators (English) |
| Author:
|
Hakobyan, G. O. |
| Author:
|
Margaryan, V. N. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
44 |
| Issue:
|
4 |
| Year:
|
2003 |
| Pages:
|
637-644 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The problems of Gevrey hypoellipticity for a class of degenerated quasi-elliptic operators are studied by several authors (see [1]--[5]). In this paper we obtain the Gevrey hypoellipticity for a degenerated quasi-elliptic operator in $\Bbb R^2$, without any restriction on the characteristic polyhedron. (English) |
| Keyword:
|
Gevrey class |
| Keyword:
|
Gevrey hypoellipticity |
| Keyword:
|
hypoelliptic operator |
| Keyword:
|
degenerated \newline quasi-elliptic operator |
| MSC:
|
35B05 |
| MSC:
|
35H10 |
| MSC:
|
35H35 |
| MSC:
|
35J60 |
| MSC:
|
35J70 |
| idZBL:
|
Zbl 1098.35058 |
| idMR:
|
MR2062880 |
| . |
| Date available:
|
2009-01-08T19:31:48Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119418 |
| . |
| Reference:
|
[1] Grushin V.V.: On a class of elliptic pseudodifferential operators degenerate on a submanifold.Mat. Sbornik 84 (1971), 163-1295; Math. USSR Sbornik 13 (1971), 155-185. Zbl 0238.47038 |
| Reference:
|
[2] Parenti C., Rodino L.: Parametrices for a class of pseudo differential operators, I, II.Ann. Mat. Pura Appl. 125 (1980), 221-278. MR 0605210 |
| Reference:
|
[3] Rodino L.: Gevrey hypoellipticity for a class of operators with multiple characteristics.Asterisque 89-90 (1981), 249-262. Zbl 0501.35021, MR 0666412 |
| Reference:
|
[4] Tartakoff D.S.: Elementary proofs of analytic hypoellipticity for $\Delta_b$ and $\delta$-Neumann problem.in Analytic Solution of Partial Differential Equations, Asterisque 89-90 (1981), 85-116. MR 0666404 |
| Reference:
|
[5] Volevich L.R.: Local regularity of the solutions of the quasi-elliptic systems (in Russian).Mat. Sbornik 59 (1962), 3-52. MR 0150448 |
| . |
