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Volumn 3, Issue 4, 2004, Pages 757-774

Semiconcavity of the value function for exit time problems with nonsmooth target

Author keywords

Dynamic programming; Hamilton Jabobi equations; Optimal control; Semiconcavity

Indexed keywords


EID: 24944515819     PISSN: 15340392     EISSN: 15535258     Source Type: Journal    
DOI: 10.3934/cpaa.2004.3.757     Document Type: Article
Times cited : (19)

References (21)
  • 2
    • 3543129688 scopus 로고
    • On two conjectures by Hájek
    • A. Bressan, On two conjectures by Hájek, Funkcial. Ekvac., 23 (1980), 221-227.
    • (1980) Funkcial. Ekvac. , vol.23 , pp. 221-227
    • Bressan, A.1
  • 3
    • 0026254228 scopus 로고
    • Some characterizations of optimal trajectories in control theory
    • P. Cannarsa, H. Frankowska, Some characterizations of optimal trajectories in control theory, SIAM J. Control Optim., 29 (1991), 1322-1347.
    • (1991) SIAM J. Control Optim. , vol.29 , pp. 1322-1347
    • Cannarsa, P.1    Frankowska, H.2
  • 9
    • 38249021747 scopus 로고
    • Generalized one-sided estimates for solutions of Hamilton-Jacobi equations and applications
    • P. Cannarsa, H.M. Soner, Generalized one-sided estimates for solutions of Hamilton-Jacobi equations and applications, Nonlinear Anal., 13 (1989), 305-323.
    • (1989) Nonlinear Anal. , vol.13 , pp. 305-323
    • Cannarsa, P.1    Soner, H.M.2
  • 10
    • 34250115257 scopus 로고
    • Approximate solutions of the Bellman equation of deterministic control theory
    • I. Capuzzo Dolcetta, I. Ishii, Approximate solutions of the Bellman equation of deterministic control theory, Appl. Math. Optim., 11 (1984), 161-181.
    • (1984) Appl. Math. Optim. , vol.11 , pp. 161-181
    • Dolcetta, I.C.1    Ishii, I.2
  • 12
    • 0030555288 scopus 로고    scopus 로고
    • Control of systems to sets and their interiors
    • F.H. Clarke, P.R. Wolenski, Control of systems to sets and their interiors, J. Opt. Theory Appl., 88 (1996), 3-23.
    • (1996) J. Opt. Theory Appl. , vol.88 , pp. 3-23
    • Clarke, F.H.1    Wolenski, P.R.2
  • 16
    • 4544305985 scopus 로고
    • On differentiability of the minimal time function
    • O. Hájek, On differentiability of the minimal time function, Funkcial. Ekvac., 20 (1977), 97-114.
    • (1977) Funkcial. Ekvac. , vol.20 , pp. 97-114
    • Hájek, O.1
  • 17
    • 24944557174 scopus 로고
    • Necessary and sufficient optimality conditions in the form of Bellman's equation
    • M.M. Hrustalev, Necessary and sufficient optimality conditions in the form of Bellman's equation, Soviet Math. Dokl., 19 (1978), 1262-1266.
    • (1978) Soviet Math. Dokl. , vol.19 , pp. 1262-1266
    • Hrustalev, M.M.1
  • 18
    • 84956105326 scopus 로고
    • Generalized solutions of the Hamilton-Jacobi equations of the eikonal type I
    • S.N. Kruzhkov, Generalized solutions of the Hamilton-Jacobi equations of the eikonal type I, Mat. Sb., 27 (1975), 406-445.
    • (1975) Mat. Sb. , vol.27 , pp. 406-445
    • Kruzhkov, S.N.1
  • 20
    • 0040782372 scopus 로고
    • On the Bellman function for the time-optimal process problem
    • N.N. Petrov, On the Bellman function for the time-optimal process problem, J. Appl. Math. Mech., 34 (1970), 785-791.
    • (1970) J. Appl. Math. Mech. , vol.34 , pp. 785-791
    • Petrov, N.N.1
  • 21
    • 0031528002 scopus 로고    scopus 로고
    • Lipschitz continuity of the value function in optimal control
    • V.M. Veliov, Lipschitz continuity of the value function in optimal control, J. Opt. Theory Appl., 94 (1997), 335-363.
    • (1997) J. Opt. Theory Appl. , vol.94 , pp. 335-363
    • Veliov, V.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.