Teoremi d'esistenza per problemi di controllo ottimo retti da equazioni ellittiche o paraboliche

 Access to full text

 Full (PDF)

1. [1] Aronson: Non-negative solutions of linear parabolic equations, Ann. Sc. Norm. Sup. Pisa, vol. XXII (1968), 607-694. Zbl0182.13802
2. [2] Aronson-Serrin: Local behavior of solutions of quasilinear parabolic equations, Arch. Rat. Mech. Anal., vol. 25 (1967), 81-122. Zbl0154.12001
3. [3] Dunford-Schartz: Linear Operators, part I, Interscience, 1958. Zbl0084.10402
4. [4] Stampacchia: Le probléme de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus, Ann. Inst. Fourier, vol. 6 (1965), 189-258. Zbl0151.15401
5. [5] Grothendieck: Sur les applications lineaires faiblement compacts d'espaces du type C(K), Can. J. Math., vol. V (1953), 129-173. Zbl0050.10902
6. [6] Lions: On some optimization problems for linear parabolic equations. Functional analysis and optimization, edited by E. Caianiello, Academic Press. Zbl0182.43101
7. [7] Bochner-Taylor: Linear functionals on certain spaces of abstractly-valued functions, Ann. of Math., vol 39 (1938), 913-944. Zbl0020.37101
8. [8] Castaing: Sur les multiapplications mesurables, R.I.R.O.1 (1967), 91-126. Zbl0153.08501
9. [9] Stampacchia: Equations elliptiques du second ordre à coefficients discontinus, Sem. Math. Sup., Montréal, 1966. Zbl0151.15501
10. [10] Fleming: Optimal control of partially observable diffusions, S.I.A.M. J. Control, vol. 6 (1968), 194-214. Zbl0167.09104
11. [11] Fleming: Duality and a priori estimates in Markovian optimization problems, J. Math. Anal. Appl., vol. 16 (1966), 254-279. Zbl0203.22101
12. [12] Fleming: Optimal continuous-parameter stochastic control, S.I.A.M. Review, 1970. Zbl0192.52501
13. [13] Kelley, Namioka, and coauthors: Linear topological spaces, Van Nostrand, 1963. Zbl0318.46001
14. [14] Morrey: Multiple integrals in the calculus of variations, Springer, 1966. Zbl0142.38701
15. [15] Spagnolo: Sul limite delle soluzioni di problemi di Cauchy relativi all'equazione del calore, Ann. Sc. Norm. Sup. Pisa, vol XXI (1967), 657-699. Sulla convergenza di soluzioni di equazioni paraboliche ed ellittiche, Ann. Sc. Norm. Sup. Pisa, vol. XXII (1968), 571-597. Zbl0153.42103
16. [16] Zolezzi: Sulla stabilità, rispetto ai coefficienti, di alcuni problemi al contorno per equazioni ellittiche e paraboliche, Boll. U.M.I., 2 (1970), 208-212. Zbl0191.39705
17. [17] Lions: Contrôle optimal de systèmes gouvernés par des équations aux dérivées partielles, Dunod e Gauthier-Villars, 1968. Zbl0179.41801
18. [18] Ladyzhenskaya-Ural'tseva, Linear and quasilinear elliptic equations, Academic Press, 1968. Zbl0164.13002

1. Nikolaos S. Papageorgiou, An existence theorem for a class of nonlinear elliptic optimal control problems