On the analyticity of solutions of partial differential equations and systems
Colloque International C.N.R.S. sur les équations aux dérivées partielles linéaires, Astérisque, no. 2-3 (1973), pp. 272-285. 
@incollection{AST_1973__2-3__272_0,
     author = {Oleinik, O. A.},
     title = {On the analyticity of solutions of partial differential equations and systems},
     booktitle = {Colloque International C.N.R.S. sur les \'equations aux d\'eriv\'ees partielles lin\'eaires},
     series = {Ast\'erisque},
     pages = {272--285},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {2-3},
     year = {1973},
     mrnumber = {399640},
     zbl = {0291.35013},
     language = {en},
     url = {http://www.numdam.org/item/AST_1973__2-3__272_0/}
}
TY  - CHAP
AU  - Oleinik, O. A.
TI  - On the analyticity of solutions of partial differential equations and systems
BT  - Colloque International C.N.R.S. sur les équations aux dérivées partielles linéaires
AU  - Collectif
T3  - Astérisque
PY  - 1973
SP  - 272
EP  - 285
IS  - 2-3
PB  - Société mathématique de France
UR  - http://www.numdam.org/item/AST_1973__2-3__272_0/
LA  - en
ID  - AST_1973__2-3__272_0
ER  - 
%0 Book Section
%A Oleinik, O. A.
%T On the analyticity of solutions of partial differential equations and systems
%B Colloque International C.N.R.S. sur les équations aux dérivées partielles linéaires
%A Collectif
%S Astérisque
%D 1973
%P 272-285
%N 2-3
%I Société mathématique de France
%U http://www.numdam.org/item/AST_1973__2-3__272_0/
%G en
%F AST_1973__2-3__272_0
Oleinik, O. A. On the analyticity of solutions of partial differential equations and systems, dans Colloque International C.N.R.S. sur les équations aux dérivées partielles linéaires, Astérisque, no. 2-3 (1973), pp. 272-285. http://www.numdam.org/item/AST_1973__2-3__272_0/

[1] Hilbert's problem.- Collection of articles, edited by P.S. Alexandrov, Moscou, Nauka, (1969), p. 216-219.-

[2] S. N. Bernstein.- Sur la nature analytique des solutions des équations aux dérivées partielles du second ordre. Math. Ann. 59, (1904), P. 20-76.- | DOI | EuDML | JFM | MR

[3] I. G. Petrovsky.- Sur l'analycité des solutions des systèmes d'équations différentielles. Mat. Sbornik, 5(47), (1939), p. 3-68.- | MR | Zbl

[4] S. Mizohata.- Solutions nulles et solutions non analytiques. J. Math. Kyoto Univ., 1, N1, (1962), p.271-302. - | DOI | MR | Zbl

[5] F. Trèves.- Hypoelliptic partial differential equations of principal type with analytic coefficients. Comm. Pure Appl Math, 23, N4, (1970), 637-651.- | DOI | MR | Zbl

[6] M. S. Baouendi-C. Goulaouic.- Non analytic hypoellipticity for some degenerate elliptic operators. Bulletin of the Am.Math.Soc., vol 78, N° 3, (1972) p. 483-486.- | DOI | MR | Zbl

[7] V. V. Grusin.- On a class of elliptic pseudodifferential operators degenerating at a submanifold. Mat. Sbornik, 84(2), (1971), P. 163-195.- | MR | Zbl

[8] H. Suzuki.- Analytic-hypoelliptic differential operators of the first order in two-independent variables, J. Math. Soc. Japan, 16, 4, (1964), p. 367-374. | DOI | MR | Zbl

[9] K. Yosida.- Functional analysis. Die Grundlehren der Mathematischen Wissenschaften, Band 123, Springer-Verlag, (1965).- | MR | Zbl

[10] H. Lewy.- Uber der analytischen Character der Lösungen elliptischer Differentialgleichungen, Nachrichten von der Gesellschant der Wissenschaften zu Güttingen ; Math-Phys. K1. (1927), p. 178-186.- | EuDML | JFM

[11] L. R. Volevich.- On a problem of the linear programming arising from differential equations. Ouspechi Mat. Nauk., V 18, N° 3 (1963), p.155-162. | MR | Zbl

[12] A. Douglis, L. Nirenberg.- Interior estimates for elliptic systems of partial differential equations. Comm. pure. Appl. Math. 8, (1955) ; p.503-538. | DOI | MR | Zbl

[13] C. Morrey-L. Nirenberg.- On the analyticity of the solution of linear elliptic systems of partial differential equations. Comm. Pure. Appli. Math. 10 (1957), p.271-290.- | DOI | MR | Zbl

[14] L. Hormander.- Linear partial differential operators ; Die Grundlehren der Mathematischen Wissenschaften in Einredarstellungen, Band 116, Springer-Verlag, (1963). | Zbl

[15] O. A. Oleinik, E. V. Radkevich.- On the analyticity of solutions of linear differential equations and systems, Dokladi, 207, N°4 (1972) | MR | Zbl

[16] O. A. Oleinik, E. V. Radkevich.- On the system of differential equations which have nonanalytical solutions. Ouspechi Mat. Nauk, Vol 27, N° 5, (1972) p. 246-248.- | MR | Zbl