@article{ASNSP_1984_4_11_1_129_0, author = {Jensen, Robert and Lions, Pierre Louis}, title = {Some asymptotic problems in fully nonlinear elliptic equations and stochastic control}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {129--176}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 11}, number = {1}, year = {1984}, mrnumber = {752583}, zbl = {0552.35027}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1984_4_11_1_129_0/} }
TY - JOUR AU - Jensen, Robert AU - Lions, Pierre Louis TI - Some asymptotic problems in fully nonlinear elliptic equations and stochastic control JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1984 SP - 129 EP - 176 VL - 11 IS - 1 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1984_4_11_1_129_0/ LA - en ID - ASNSP_1984_4_11_1_129_0 ER -
%0 Journal Article %A Jensen, Robert %A Lions, Pierre Louis %T Some asymptotic problems in fully nonlinear elliptic equations and stochastic control %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1984 %P 129-176 %V 11 %N 1 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1984_4_11_1_129_0/ %G en %F ASNSP_1984_4_11_1_129_0
Jensen, Robert; Lions, Pierre Louis. Some asymptotic problems in fully nonlinear elliptic equations and stochastic control. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 11 (1984) no. 1, pp. 129-176. http://archive.numdam.org/item/ASNSP_1984_4_11_1_129_0/
[1] On some existence theorems for semilinear elliptic equations, Ind. Univ. Math. J., | Zbl
- ,[2] Homogenization theory, Conferenze del seminario di matematica dell'Università di Bari, 158 (1979). | MR | Zbl
,[3] Asymptotic analysis for periodic structures, North-Holland (1978), Amsterdam. | MR | Zbl
- - ,[4] Optimal control of random evolutions, Stochastics, 5 (1981), pp. 169-199. | MR | Zbl
- ,[5] Principe du maximum dans les espaces de Sobolev, Comptes-Rendus Paris, 265 (1967), pp. 333-336. | MR | Zbl
,[6] Opèrateurs maximaux monotones, North-Hollans (1973).
,[7] A variational approach to the Bellman-Dirichlet equation for two elliptic operators, Arch. Rat. Mech. Anal., 71 (1979), pp. 1-14. | MR | Zbl
- ,[8]
- , to appear.[9] Decomposition of near optimal state regulation for systems with slow and fast modes, IEEE, Tr. Autom. Control (1976). | Zbl
- ,[10] A justification of the Von Kármán equations, Arch. Rat. Mech Anal., 75 (1980), pp. 349-389. | MR | Zbl
,[11] A justification of the two-dimensional linear plate model, J. Mécanique, 18 (1979), pp. 315-344. | MR | Zbl
- ,[12] A justification of a nonlinear model in plate theory, Comput. Methods Appl. Mech. Engreg., 17/18 (1979), pp. 227-258. | MR | Zbl
- ,[13] Ler équations de Von Kármán, Lecture Notes in Mathematics, no. 826, Springer, Berlin, 1980. | MR | Zbl
- ,[14] Sulla convergenza degli integrali dell'energia per operatori ellitici del secondo ordine, Boll. Un. Mat. Ital., 8 (1973), pp. 391-411. | MR | Zbl
- ,[15] A convergence theorem for solutions of nonlinear elliptic equations, Ind. Univ. Math. J., 27 (1978), pp. 875-887. | MR | Zbl
,[16] On solving certain nonlinear partial differential equations by accretive operator methods, Isr. J. Math., 36 (1980), pp. 225-247. | MR | Zbl
,[17] Classical solutions of fully nonlinear, convex, second order elliptic equations, Comm. Pure Appl. Math. Math., 1982. | MR | Zbl
,[18] Optimal stochastic switching and the Dirichlet problem for the Bellman equation, Trans. Amer. Math. Soc., 253 (1979), pp. 365-389. | MR | Zbl
- ,[19] Résolution des équations de Hamilton-Jacobi-Bellman pour des opèrateurs uniformement e.liptiques, Comptes-Rendus Paris, 290 (1980), pp. 1049-1052. | MR | Zbl
- ,[20] Fully nonlinear second order elliptic equations with large zeroth order coefficient, Ann. Inst. Fourier, 31 (1981), pp. 175-191. | EuDML | Numdam | MR | Zbl
- ,[21] Deterministic and stochastic optimal control, Springer, Berlin, 1975 | MR | Zbl
- ,[22]
- , to appear.[23] Controlled diffusion processes, Springer, Berlin, 1980. | MR | Zbl
,[24] Linear and quasilinear elliptic equations, Academic Press, New York, 1968. | MR | Zbl
- ,[25] Résolution analytique des problèmes de Bellman-Dirichlet, Acta Mathematica, 146 (1981), pp. 151-166; See also Comptes-Rendus Paris, 287 (1978), pp. 747-750. | MR | Zbl
,[26] Control of diffusion processes in RN, Comm. Pure Appl. Math., 34 (1981), pp. 121-147; See also Comptes-Rendus Paris, 288 (1979), pp. 339-342. | MR | Zbl
,[27] Equations de Hamilton-Jacobi-Bellman dégénérées, Comptes-Rendus Paris, 289 (1979), pp. 329-332. | MR | Zbl
,[28] Résolution de problèmes quasilineaires, Arch. Rat. Mech. Anal., 74 (1980), pp. 335-354. | MR | Zbl
,[29] Problèmes elliptiques du deuxième ordre non sour forme divergence, Proc. Roy. Soc. Edinburgh, 84A (1979), pp. 263-271. | MR | Zbl
,[30] Some problems related to the Bellman-Dirichlet equation for two operators, Comm. in Partial Diff. Equations, 5 (7) (1980), pp. 753-771. | MR | Zbl
,[31] A remark on some elliptic second-order problems, Boll. Un. Mat. Ital., 17 (1980), pp. 267-270. | MR | Zbl
,[32] Equations de Hamitton-Jacobi-Bettman, In «Seminaire Goulaouic-Schwartz 1979-80 », Ecole Polytechnique, Paris, 1981. | Numdam | Zbl
,[33] Une inégalité pour les opérateurs elliptiques du second ordre, Ann. Mat. Pura Appl., 77 (1981), pp. 1-11. | MR | Zbl
,[34] Le problème de Cauchy pour les équations de Hamilton-Jacobi-Bellman, Ann. de Toulouse, 3 (1981), pp. 59-68. | EuDML | Numdam | MR | Zbl
,[35] Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations, Comm. P.D.E., 8 (1983), pp. 1101-1174, pp. 1229-1276 and in Nonlinear PDE and applications, vol. V, Pitman, London, 1983. | Zbl
,[36] The singular perturbed linear state regulator, S.I.A.M. J. Control, 13 (1975). | Zbl
,[37] Limitazioni per soluzioni di equazioni ellitiche, Ann. Mat. Pura Appl., 74 (1966), pp. 15-30. | MR | Zbl
,[38] On the Dirichlet problem for the Bellman equation in a bounded domain, Dokl. Akad. Nauk. U.S.S.R., (1980), pp. 535-540 (in Russian). | MR | Zbl
,[39] The problem of Dirichlet for quasilinear elliptic differential equations with many independent oariables, Phil. Trans. Roy. Soc. London, 264 (1969), pp. 413-496. | MR | Zbl
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