On application of direct variational methods to the solution of parabolic boundary value problems of arbitrary order in the space variables
Czechoslovak Mathematical Journal, Tome 21 (1971) no. 2, pp. 318-339
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1971.101024
Classification : 35K35
@article{10_21136_CMJ_1971_101024,
     author = {Rektorys, Karel},
     title = {On application of direct variational methods to the solution of parabolic boundary value problems of arbitrary order in the space variables},
     journal = {Czechoslovak Mathematical Journal},
     pages = {318--339},
     year = {1971},
     volume = {21},
     number = {2},
     doi = {10.21136/CMJ.1971.101024},
     mrnumber = {0298237},
     zbl = {0217.41601},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1971.101024/}
}
TY  - JOUR
AU  - Rektorys, Karel
TI  - On application of direct variational methods to the solution of parabolic boundary value problems of arbitrary order in the space variables
JO  - Czechoslovak Mathematical Journal
PY  - 1971
SP  - 318
EP  - 339
VL  - 21
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1971.101024/
DO  - 10.21136/CMJ.1971.101024
LA  - en
ID  - 10_21136_CMJ_1971_101024
ER  - 
%0 Journal Article
%A Rektorys, Karel
%T On application of direct variational methods to the solution of parabolic boundary value problems of arbitrary order in the space variables
%J Czechoslovak Mathematical Journal
%D 1971
%P 318-339
%V 21
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1971.101024/
%R 10.21136/CMJ.1971.101024
%G en
%F 10_21136_CMJ_1971_101024
Rektorys, Karel. On application of direct variational methods to the solution of parabolic boundary value problems of arbitrary order in the space variables. Czechoslovak Mathematical Journal, Tome 21 (1971) no. 2, pp. 318-339. doi: 10.21136/CMJ.1971.101024

[1] Nečas J.: Les méthodes directes en théorie aux équations elliptique. Edition de l'Academie tchécoslovaque des sciences, Praha 1967.

[2] Hlaváček I.: Variational Principles for Parabolic equations. Aplikace matematiky 14 (1969), 4, Praha 1969. | MR

[3] Wilcox C. H.: Linear hyperbolic equations. Arch Rational Mech. and Anal., Vol. 10, Number 5, 1962. | MR

[4] Rothe E.: Zweidimensionale parabolische Randwertaufgaben als Grenzfall eindimensionaler Randwertaufgaben. Math. Ann. 102 (1930). | DOI | MR

[5] Ladyženskaja O. A.: Solution of the First Boundary Value Problem for Quasilinear Parabolic Equations. Trudy Mosk. Mat. Obš. 7 (1958). (In Russian.) | MR

[6] Iljin A. M., Kalašnikov A. S., Oleinik O. A.: Linear Equations of the Second Order of Parabolic Type. Uspechi XVII (1962), 3. (In Russian.)

[7] Ladyženskaja O. A.: On the Solution of Nonstationary Operator Equations. Mat. Sborník 39 (81), No. 4, 1956. (In Russian.)

[8] Ibragimov Š. I.: On the Analogy of the Method of Lines for Differential Equations in Abstract Spaces. Dokl. Azerb. Ak. Nauk XXI, No. 6, 1965. (In Russian.) | MR

Cité par Sources :