| Title:
|
Time-optimal control of nonlinear parabolic systems with constrained derivative of control, existence theorem (English) |
| Author:
|
Roubíček, Tomáš |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
20 |
| Issue:
|
5 |
| Year:
|
1984 |
| Pages:
|
405-412 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35K55 |
| MSC:
|
49A27 |
| MSC:
|
49J20 |
| MSC:
|
49J27 |
| MSC:
|
49J30 |
| MSC:
|
93C10 |
| MSC:
|
93C20 |
| MSC:
|
93C25 |
| idZBL:
|
Zbl 0549.49003 |
| idMR:
|
MR776329 |
| . |
| Date available:
|
2009-09-24T17:42:57Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124487 |
| . |
| Reference:
|
[1] N. U. Ahmed: Optimal control of a class of strongly nonlinear parabolic systems.J. Math. Anal. Appl. 61 (1977), 188-207. Zbl 0404.49021, MR 0638047 |
| Reference:
|
[2] N. Bourbaki: Topologie générale.Hermann, Paris 1964. Russian translation: Obščaja topologija. Nauka, Moscow 1975. Zbl 0134.18203 |
| Reference:
|
[3] J. L. Lions: Quelqucs méthodes de résolution des problèmes aux limites non linéaires.Dunod et Gauthier-Villars, Paris 1969. Russian translation: Někotoryje metody rešenija nělinějnych krajevych zadač. Mir, Moscow 1972. MR 0259693 |
| Reference:
|
[4] J. L. Lions. : Controle optimal de systèmes gouvernés par des équation aux dérivées partielles.Dunod et Gauthier-Villars, Paris 1968. Russian translation: Optimaľnoje upravlenije sistěmami opisyvajemymi uravněnijami v častnych proizvodnych. Mir, Moscow 1972. MR 0244606 |
| Reference:
|
[5] P. Mankiewicz: On the differentiability of Lipschitz mappings in Fréchet spaces.Studia Math. 45 (1973), 15-29. Zbl 0219.46006, MR 0331055 |
| . |
