Solutions in Gevrey spaces of partial differential equations with constant coefficients
Analytic solutions of partial differential equations - Trento, 1981, Astérisque, no. 89-90 (1981), pp. 129-151

Voir la notice du chapitre de livre provenant de la source Numdam

MR Zbl
Cattabriga, L. Solutions in Gevrey spaces of partial differential equations with constant coefficients, dans Analytic solutions of partial differential equations - Trento, 1981, Astérisque, no. 89-90 (1981), pp. 129-151. http://geodesic.mathdoc.fr/item/AST_1981__89-90__129_0/
@incollection{AST_1981__89-90__129_0,
     author = {Cattabriga, L.},
     title = {Solutions in {Gevrey} spaces of partial differential equations with constant coefficients},
     booktitle = {Analytic solutions of partial differential equations - Trento, 1981},
     series = {Ast\'erisque},
     pages = {129--151},
     year = {1981},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {89-90},
     mrnumber = {666406},
     zbl = {0496.35018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AST_1981__89-90__129_0/}
}
TY  - CHAP
AU  - Cattabriga, L.
TI  - Solutions in Gevrey spaces of partial differential equations with constant coefficients
BT  - Analytic solutions of partial differential equations - Trento, 1981
AU  - Collectif
T3  - Astérisque
PY  - 1981
SP  - 129
EP  - 151
IS  - 89-90
PB  - Société mathématique de France
UR  - http://geodesic.mathdoc.fr/item/AST_1981__89-90__129_0/
LA  - en
ID  - AST_1981__89-90__129_0
ER  - 
%0 Book Section
%A Cattabriga, L.
%T Solutions in Gevrey spaces of partial differential equations with constant coefficients
%B Analytic solutions of partial differential equations - Trento, 1981
%A Collectif
%S Astérisque
%D 1981
%P 129-151
%N 89-90
%I Société mathématique de France
%U http://geodesic.mathdoc.fr/item/AST_1981__89-90__129_0/
%G en
%F AST_1981__89-90__129_0

[1] K. G. Andersson, Global solvability of partial differential equations in the space of real analytic functions. Coll. on Analysis, Rio de Janeiro, August 1972, Analyse fonctionelle, Hermann, 1974. | MR | Zbl

[2] G. Bjorck, Linear partial differential operators and generalized distributions. Ark. Mat. 6 (21) (1966), 351-407. | MR | Zbl | DOI

[3] L. Cattabriga, Sull'esistenza di soluzioni analitiche reali di equazioni a derivate parziali a coefficienti costanti, Boll. Un. Mat. Ital. (4) 12 (1975), 221-234. | MR | Zbl

[4] L. Cattabriga, Fundamental solutions with singular support contained in a cone or in a half-space. Applications, Conf. Sem. Mat. Univ. Bari 151 (1978), 1-24. | MR | Zbl

[5] L. Cattabriga - E. De Giorgi, Sull'esistenza di soluzioni analitiche di equazioni a derivate parziali a coefficienti costanti in un qualunque numero di variabili, Boll. Un. Mat. Ital. (4) 6 (1972), 301-311. | MR | Zbl

[6] L. Cattabriga - E. De Giorgi, Soluzioni di equazioni differenziali a coefficienti costanti appartenenti in un semispazio a certe classi di Gevrey, Boll. Un. Mat. Ital. (4) 12 (1975), 324-348. | MR | Zbl

[7] E. De Giorgi - L. Cattabriga, Una formula di rappresentazione per funzioni analitiche in n , Boll. Un. Mat. Ital. (4) 4 (1971), 1010-1014. | MR | Zbl

[8] E. De Giorgi - L. Cattabriga, Una dimostrazione diretta dell'esistenza di soluzioni analitiche nel piano reale di equazioni a derivate parziali a coefficienti costanti, Boll. Un. Mat. Ital. (4) 4 (1971), 1015-1027. | MR | Zbl

[9] J. Fehrman, Hybrids between hyperbolic and elliptic differential operators with constant coefficients. Ark. Mat. 13 (1975), 209-235. | MR | Zbl | DOI

[10] E. A. Gorin, Partially hypoelliptic partial differential equations with constant coefficients, Sibirsk. Mat. Z. 3 (1962), 500-526. | MR | Zbl

[11] L. Hörmander, On the division of distributions by polynomials. Ark. Mat. 3 (1958), 555-568. | MR | Zbl | DOI

[12] L. Hörmander, On the characteristic Cauchy problem, Ann. of Math. 88 (1968), 341-370. | MR | Zbl | DOI

[13] L. Hörmander, On the existence and regularity of solutions of linear pseudo-differential equations, L'Enseigment mathem. 17 (1971), 99-163. | MR | Zbl

[14] L. Hörmander, On the existence of real analytic solutions of partial differential equations with constant coefficients, Inventiones Math. 21 (1973), 151-182. | MR | Zbl | EuDML | DOI

[15] T. Kawai, On the global existence of real analytic solutions of linear differential equations (I), J. Math. Soc. Japan, 24 (1972), 481-517. | MR | Zbl | DOI

[16] E. Larsson, Generalized hyperbolicity, Ark. Mat. 7 (1967), 11-32. | Zbl | MR | DOI

[17] B. Malgrange, Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution, Ann. Inst. Fourier (Grenoble) 6 (1955-56), 271-355. | DOI | MR | Zbl | EuDML | Numdam

[18] T. Shirota, On the propagation of regularity of solutions of partial differential equations with constant coefficients, Proc. Japan Acad. 38 (1962), 587-590. | MR | Zbl | DOI

[19] G. Talenti, Un problema di Cauchy, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3), 18 (1964), 165-186. | MR | Zbl | EuDML | Numdam

[20] F. Treves, Locally convex spaces and linear partial differential equations. Springer 1967. | MR | Zbl | DOI