| Title:
|
Results for an optimal control problem with a semilinear state equation with constrained control (English) |
| Author:
|
Bilić, Nataša |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
52 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
109-126 |
| . |
| Category:
|
math |
| . |
| MSC:
|
49K27 |
| MSC:
|
49K40 |
| MSC:
|
49L20 |
| idZBL:
|
Zbl 1048.49020 |
| idMR:
|
MR1901018 |
| . |
| Date available:
|
2009-09-25T14:06:30Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136857 |
| . |
| Reference:
|
[1] BARBU V., DA PRATO G.: Hamilton-Jacobi Equation in Hilbert Space.Pitman, Boston, MA, 1982. |
| Reference:
|
[2] GOZZI F.: Some results for an optimal control problem with semilinear state equation.SIAM J. Control Optim. 29 (1991), 751-786. Zbl 0736.49016, MR 1111658 |
| Reference:
|
[3] MCRANDAL G., LIONS P. L.: Hamilton-Jacobi in infinite dimension. Unisequencess of viscosity solutions.J. Funct. Anal. 62 (1985), 379-396. MR 0794776 |
| Reference:
|
[4] CRANDAL M. G., LIONS P. L.: Hamilton-Jacobi in infinite dimension, Part III.J. Funct. Anal. 66 (1986), 214-247. MR 0852660 |
| Reference:
|
[5] DI BLASIO G.: Global solutions for a class Hamilton-Jacobi equation in Hilbert spaces.Numer. Funct. Anal. Optim. 261-300, 1985. MR 0876242 |
| Reference:
|
[6] EKELAND I., TEMAM R.: Convex Analysis and Variational problems.Stud. Math. Appl., North-Holland, Amsterdam, 1976. Zbl 0322.90046, MR 0463994 |
| Reference:
|
[7] PRITCHARD A. J., ZABCYK J.: Stability and stabilizability of infinite dimensional system.SIAM Rev. 23 (1981), 25-52. MR 0605439 |
| Reference:
|
[8] BUCH B. C.: A semigroup treatment of the Hamilton-Jacobi equation in several space variables.J. Differential Equations 23 (1977), 102-124. MR 0440183 |
| Reference:
|
[9] CRANDALL M. G., LIONS P. L.: Condition ďUnicite pour les solutions generalisees des equations de Hamilton-Jacobi equations du ler ordre.C. R. Acad. Sci. Paris Sér. I Math. 292 (1981), 183-186. MR 0610314 |
| Reference:
|
[10] BARBU V., DA PRATO G., POPA C.: Existence and uniqueness of the dynamic programming equation.Nonlinear Anal. 7 (1983), 283-299. Zbl 0508.49024, MR 0693446 |
| Reference:
|
[11] BARBU V., DA PRATO G.: A note on a Hamilton-Jacobi equation in Hilbert space.Nonlinеar Anal. 9 (1985), 1337-1345. Zbl 0627.35013, MR 0820645 |
| . |
