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Volumn 198, Issue 2, 1996, Pages 399-443

Global regular solutions of second order Hamilton-Jacobi equations in Hilbert spaces with locally Lipschitz nonlinearities

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EID: 0030094496     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0090     Document Type: Article
Times cited : (43)

References (25)
  • 1
    • 0003317483 scopus 로고
    • Hamilton-Jacobi equations in Hilbert spaces
    • Pitman, Boston
    • 1. V. Barbu and G. Da Prato, "Hamilton-Jacobi Equations in Hilbert Spaces, Research notes in Math., Pitman, Boston, 1983.
    • (1983) Research Notes in Math
    • Barbu, V.1    Da Prato, G.2
  • 2
    • 0026118706 scopus 로고
    • Second order Hamilton-Jacobi equations in infinite dimension
    • 2. P. Cannarsa and G. Da Prato, Second order Hamilton-Jacobi equations in infinite dimension, SIAM J. Control. Optim. 29, No. 2 (1991), 474-492.
    • (1991) SIAM J. Control. Optim. , vol.29 , Issue.2 , pp. 474-492
    • Cannarsa, P.1    Da Prato, G.2
  • 3
    • 0002984608 scopus 로고
    • On a functional analysis approach to parabolic equations in infinite dimensions
    • 3. P. Cannarsa and G. Da Prato, On a functional analysis approach to parabolic equations in infinite dimensions, J. Funct. Anal. 118, No. 1 (1993), 22-42.
    • (1993) J. Funct. Anal. , vol.118 , Issue.1 , pp. 22-42
    • Cannarsa, P.1    Da Prato, G.2
  • 4
    • 0002248062 scopus 로고
    • Direct solution of a second order Hamilton-Jacobi equation in Hilbert spaces
    • Pitman Research Notes in Mathematics, (G. Da Prato and L. Tubaro, Eds.), Pitman, London
    • 4. P. Cannarsa and G. Da Prato, Direct solution of a second order Hamilton-Jacobi equation in Hilbert spaces, in "Stochastic Partial Differential Equations and Applications," Pitman Research Notes in Mathematics, Vol. 268, (G. Da Prato and L. Tubaro, Eds.), pp. 72-85, Pitman, London, 1992.
    • (1992) Stochastic Partial Differential Equations and Applications , vol.268 , pp. 72-85
    • Cannarsa, P.1    Da Prato, G.2
  • 6
    • 51249164711 scopus 로고
    • 5. S. Cerrai, A Hille-Yosida theorem for weakly continuous semigroups, Preprints di Matematica 17, Scuola Normale Superiore, Pisa, 1993; Semigroup Forum 49 (1994), 349-367.
    • (1994) Semigroup Forum , vol.49 , pp. 349-367
  • 8
    • 84972492663 scopus 로고
    • Strong solutions of Cauchy problems associated to weakly continuous semigroups
    • Scuola Normale Superiore, Pisa
    • 7. S. Cerrai and F. Gozzi, Strong solutions of Cauchy problems associated to weakly continuous semigroups, preprint di Matematica, 35, Scuola Normale Superiore, Pisa, 1993; also Differential and Integral Equations, 8, No. 3 (1995), 465-486.
    • (1993) Preprint Di Matematica , vol.35
    • Cerrai, S.1    Gozzi, F.2
  • 9
    • 84972492663 scopus 로고
    • 7. S. Cerrai and F. Gozzi, Strong solutions of Cauchy problems associated to weakly continuous semigroups, preprint di Matematica, 35, Scuola Normale Superiore, Pisa, 1993; also Differential and Integral Equations, 8, No. 3 (1995), 465-486.
    • (1995) Differential and Integral Equations , vol.8 , Issue.3 , pp. 465-486
  • 10
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • 8. M. G. Crandall, H. Ishii, and P. L. Lions, User's guide to viscosity solutions of second order partial differential equations, Bull. Amer. Math. Soc. (N.S). 27, No. 1 (1992), 1-67.
    • (1992) Bull. Amer. Math. Soc. (N.S) , vol.27 , Issue.1 , pp. 1-67
    • Crandall, M.G.1    Ishii, H.2    Lions, P.L.3
  • 11
    • 0021835459 scopus 로고
    • Some results on Bellmann equation in Hilbert spaces
    • 9. G. Da Prato, Some results on Bellmann equation in Hilbert spaces, SIAM J. Control Optim. 23 (1985), 61-71.
    • (1985) SIAM J. Control Optim. , vol.23 , pp. 61-71
    • Da Prato, G.1
  • 12
    • 0040694405 scopus 로고    scopus 로고
    • On the Ornstein Uhlenbeck operator in spaces of continuous functions
    • to appear
    • 10. G. Da Prato and A. Lunardi, On the Ornstein Uhlenbeck operator in spaces of continuous functions, J. Funct. Anal., to appear.
    • J. Funct. Anal.
    • Da Prato, G.1    Lunardi, A.2
  • 16
    • 0001232993 scopus 로고
    • Regularity of solutions of second order Hamilton-Jacobi equations and application to a control problem
    • Scuola Normale Superiore, Pisa
    • 14. F. Gozzi, Regularity of solutions of second order Hamilton-Jacobi equations and application to a control problem, preprint di Matematica 09, Scuola Normale Superiore, Pisa, 1994; also Comm. Partial Differential Equations 20, No. 5&6 (1995), 775-826.
    • (1994) Preprint Di Matematica , vol.9
    • Gozzi, F.1
  • 17
    • 0001232993 scopus 로고
    • 14. F. Gozzi, Regularity of solutions of second order Hamilton-Jacobi equations and application to a control problem, preprint di Matematica 09, Scuola Normale Superiore, Pisa, 1994; also Comm. Partial Differential Equations 20, No. 5&6 (1995), 775-826.
    • (1995) Comm. Partial Differential Equations , vol.20 , Issue.5-6 , pp. 775-826
  • 18
    • 0001152144 scopus 로고
    • Existence for the dynamic programming equation of control diffusion processes in Hilbert space
    • 15. T. Havarneanu, Existence for the dynamic programming equation of control diffusion processes in Hilbert space, Nonlinear Anal. Theory Methods Appl. 9 (1985), 619-629.
    • (1985) Nonlinear Anal. Theory Methods Appl. , vol.9 , pp. 619-629
    • Havarneanu, T.1
  • 19
    • 15244346736 scopus 로고
    • Hypoelliptic second order differential equations
    • 16. L. Hörmander, Hypoelliptic second order differential equations, Acta Math. 119 (1967), 147-171.
    • (1967) Acta Math. , vol.119 , pp. 147-171
    • Hörmander, L.1
  • 20
    • 34250087346 scopus 로고
    • Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. I. The case of bounded stochastic evolution
    • 17. P. L Lions, Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. I. The case of bounded stochastic evolution, Acta Math. 161 (1988), 243-278;
    • (1988) Acta Math. , vol.161 , pp. 243-278
    • Lions, P.L.1
  • 21
    • 34250087346 scopus 로고
    • II. Optimal control of Zakai's equation
    • (G. Da Prato and L. Tubaro, Eds.) Springer-Verlag, Berlin
    • 17. P. L Lions, Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. I. The case of bounded stochastic evolution, Acta Math. 161 (1988), 243-278; II. Optimal control of Zakai's equation, in "Lecture Notes in Mathematics," (G. Da Prato and L. Tubaro, Eds.) Vol. 1390, pp. 147-170, Springer-Verlag, Berlin, 1989; III. Uniqueness of viscosity solutions for general second order equations, J. Funct. Anal. 86 (1989), 1-18.
    • (1989) Lecture Notes in Mathematics , vol.1390 , pp. 147-170
  • 22
    • 34250087346 scopus 로고
    • III. Uniqueness of viscosity solutions for general second order equations
    • 17. P. L Lions, Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. I. The case of bounded stochastic evolution, Acta Math. 161 (1988), 243-278; II. Optimal control of Zakai's equation, in "Lecture Notes in Mathematics," (G. Da Prato and L. Tubaro, Eds.) Vol. 1390, pp. 147-170, Springer-Verlag, Berlin, 1989; III. Uniqueness of viscosity solutions for general second order equations, J. Funct. Anal. 86 (1989), 1-18.
    • (1989) J. Funct. Anal. , vol.86 , pp. 1-18


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.