Title:
|
Powers and Gevrey's regularity for a system of differential operators (English) |
Author:
|
Bolley, Pierre |
Author:
|
Camus, Jacques |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
29 |
Issue:
|
4 |
Year:
|
1979 |
Pages:
|
649-661 |
Summary lang:
|
Russian |
. |
Category:
|
math |
. |
MSC:
|
35G15 |
MSC:
|
35J25 |
idZBL:
|
Zbl 0423.35024 |
idMR:
|
MR548225 |
DOI:
|
10.21136/CMJ.1979.101644 |
. |
Date available:
|
2008-06-09T14:36:46Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101644 |
. |
Reference:
|
[1] S. Agmon: The coerciveness problem for integro-differential forms.J. Analyse Math. 6 (1958), 183-223. Zbl 0119.32302, MR 0132912, 10.1007/BF02790236 |
Reference:
|
[2] N. Aronszajn: On coercive integro-differential quadratic forms.Univ. of Kansas, Tech. Report 14 (1954), 94-106. |
Reference:
|
[3] P. Bolley, J. Camus: Régularité pour des systèmes à coefficients constants.С. R. Acad. Sc. Paris 281 (22 Dec. 1975) série A, 1091--1094. Zbl 0331.35016, MR 0435573 |
Reference:
|
[4] H. Cartan: Fonctions définies par des inégalités sur leurs dérivées.Hermann (1940). |
Reference:
|
[5] M. Damlakhi: Analyticité et itérés d'opérateurs pseudo-différentiels.Thèse de 3ème cycle, Orsay (1977). |
Reference:
|
[6] G. H. Hardy J. E. Littlewood G. Polya: Inequalities.Cambridge (1967). MR 0046395 |
Reference:
|
[7] L. Hörmander: Uniqueness theorem and wave front sets solution of linear differential equations with analytic coefficients.Comm. Pure Appl. Math. 14 (1971), 671 - 704. MR 0294849, 10.1002/cpa.3160240505 |
Reference:
|
[8] T. Kotake N. Narasimhan: Regularity theorems for fractional powers of a linear elliptic operator.Bull. Soc. Math. France 90 (1962), 449-471. MR 0149329 |
Reference:
|
[9] J. L. Lions, E. Magenes: Problèmes aux limites non homogènes et applications, vol. 3.Dunod Paris (1970). Zbl 0197.06701, MR 0291887 |
Reference:
|
[10] C. B. Morrey L. Nirenberg: On the analyticity of the solutions of linear elliptic systems of partial differential equations.Comm. Pure Appl. Math. 10 (1957), 271 - 290. MR 0089334, 10.1002/cpa.3160100204 |
Reference:
|
[11] E. Nelson: Analytic vectors.Ann. of Math. 70 (3) (1959), 572-615. Zbl 0091.10704, MR 0107176, 10.2307/1970331 |
Reference:
|
[12] K. T. Smith: Formules de représentation de fonctions par leurs dérivées.Math. Ann. 188 (1970), 53-77. |
Reference:
|
[13] В. L. Van der Warden: Modem Algebra II.Frederik Ungar Publ. Co. |
. |