| Title:
|
On application of direct variational methods to the solution of parabolic boundary value problems of arbitrary order in the space variables (English) |
| Author:
|
Rektorys, Karel |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
21 |
| Issue:
|
2 |
| Year:
|
1971 |
| Pages:
|
318-339 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
35K35 |
| idZBL:
|
Zbl 0217.41601 |
| idMR:
|
MR0298237 |
| DOI:
|
10.21136/CMJ.1971.101024 |
| . |
| Date available:
|
2008-06-09T13:51:27Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101024 |
| . |
| Reference:
|
[1] Nečas J.: Les méthodes directes en théorie aux équations elliptique.Edition de l'Academie tchécoslovaque des sciences, Praha 1967. |
| Reference:
|
[2] Hlaváček I.: Variational Principles for Parabolic equations.Aplikace matematiky 14 (1969), 4, Praha 1969. MR 0255988 |
| Reference:
|
[3] Wilcox C. H.: Linear hyperbolic equations.Arch Rational Mech. and Anal., Vol. 10, Number 5, 1962. MR 0145203 |
| Reference:
|
[4] Rothe E.: Zweidimensionale parabolische Randwertaufgaben als Grenzfall eindimensionaler Randwertaufgaben.Math. Ann. 102 (1930). MR 1512599, 10.1007/BF01782368 |
| Reference:
|
[5] Ladyženskaja O. A.: Solution of the First Boundary Value Problem for Quasilinear Parabolic Equations.Trudy Mosk. Mat. Obš. 7 (1958). (In Russian.) MR 0114050 |
| Reference:
|
[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.) |
| Reference:
|
[7] Ladyženskaja O. A.: On the Solution of Nonstationary Operator Equations.Mat. Sborník 39 (81), No. 4, 1956. (In Russian.) |
| Reference:
|
[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 0192158 |
| . |
