메뉴 건너뛰기




Volumn 58, Issue 3, 2008, Pages 393-410

Asymptotic solutions of Hamilton-Jacobi equations with state constraints

Author keywords

Hamilton Jacobi equations; Large time behavior; State constraints

Indexed keywords

ASYMPTOTIC SOLUTIONS; BOUNDED DOMAINS; CAUCHY PROBLEMS; CONVERGENCE RESULTS; HAMILTON-JACOBI EQUATIONS; LARGE-TIME BEHAVIOR; STATE CONSTRAINTS; VISCOSITY SOLUTIONS;

EID: 54949120627     PISSN: 00954616     EISSN: 14320606     Source Type: Journal    
DOI: 10.1007/s00245-008-9041-1     Document Type: Article
Times cited : (37)

References (24)
  • 1
    • 0000378860 scopus 로고
    • Asymptotic behavior of viscosity solutions of first Hamilton-Jacobi equations
    • 2
    • G. Barles 1985 Asymptotic behavior of viscosity solutions of first Hamilton-Jacobi equations Ric. Mat. 34 2 227 260
    • (1985) Ric. Mat. , vol.34 , pp. 227-260
    • Barles, G.1
  • 2
    • 78049400271 scopus 로고
    • Semicontinuous viscosity solutions for Hamilton-Jacobi equations with convex Hamiltonians
    • 12
    • E.N. Barron R. Jensen 1990 Semicontinuous viscosity solutions for Hamilton-Jacobi equations with convex Hamiltonians Commun. Partial Differ. Equ. 15 12 1713 1742
    • (1990) Commun. Partial Differ. Equ. , vol.15 , pp. 1713-1742
    • Barron, E.N.1    Jensen, R.2
  • 3
    • 33746839663 scopus 로고    scopus 로고
    • Ergodic type problems and large time behaviour of unbounded solutions of Hamilton-Jacobi equations
    • 7-9
    • G. Barles J.-M. Roquejoffre 2006 Ergodic type problems and large time behaviour of unbounded solutions of Hamilton-Jacobi equations Commun. Partial Differ. Equ. 31 7-9 1209 1225
    • (2006) Commun. Partial Differ. Equ. , vol.31 , pp. 1209-1225
    • Barles, G.1    Roquejoffre, J.-M.2
  • 4
    • 0034347336 scopus 로고    scopus 로고
    • On the large time behavior of solutions of Hamilton-Jacobi equations
    • 4
    • G. Barles P.E. Souganidis 2000 On the large time behavior of solutions of Hamilton-Jacobi equations SIAM J. Math. Anal. 31 4 925 939
    • (2000) SIAM J. Math. Anal. , vol.31 , pp. 925-939
    • Barles, G.1    Souganidis, P.E.2
  • 5
    • 0003186078 scopus 로고
    • A boundary value problem for Hamilton-Jacobi equations in Hilbert spaces
    • 2
    • P. Cannarsa F. Gozzi H.M. Soner 1991 A boundary value problem for Hamilton-Jacobi equations in Hilbert spaces Appl. Math. Optim. 24 2 197 220
    • (1991) Appl. Math. Optim. , vol.24 , pp. 197-220
    • Cannarsa, P.1    Gozzi, F.2    Soner, H.M.3
  • 7
    • 84966227140 scopus 로고
    • Hamilton-Jacobi equations with state constraints
    • 2
    • I. Capuzzo-Dolcetta P.-L. Lions 1990 Hamilton-Jacobi equations with state constraints Trans. Am. Math. Soc. 318 2 643 683
    • (1990) Trans. Am. Math. Soc. , vol.318 , pp. 643-683
    • Capuzzo-Dolcetta, I.1    Lions, P.-L.2
  • 9
    • 33947248437 scopus 로고    scopus 로고
    • A generalized dynamical approach to the large time behavior of solutions of Hamilton-Jacobi equations
    • 2
    • A. Davini A. Siconolfi 2006 A generalized dynamical approach to the large time behavior of solutions of Hamilton-Jacobi equations SIAM J. Math. Anal. 38 2 478 502
    • (2006) SIAM J. Math. Anal. , vol.38 , pp. 478-502
    • Davini, A.1    Siconolfi, A.2
  • 10
    • 0032138156 scopus 로고    scopus 로고
    • Sur la convergence du semi-groupe de Lax-Oleinik
    • 3
    • A. Fathi 1998 Sur la convergence du semi-groupe de Lax-Oleinik C. R. Acad. Sci. Paris Sér. I Math. 327 3 267 270
    • (1998) C. R. Acad. Sci. Paris Sér. i Math. , vol.327 , pp. 267-270
    • Fathi, A.1
  • 12
    • 11944264666 scopus 로고    scopus 로고
    • PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians
    • 2
    • A. Fathi A. Siconolfi 2005 PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians Calc. Var. Partial Differ. Equ. 22 2 185 228
    • (2005) Calc. Var. Partial Differ. Equ. , vol.22 , pp. 185-228
    • Fathi, A.1    Siconolfi, A.2
  • 13
    • 0034148320 scopus 로고    scopus 로고
    • Filippov's and Filippov-Ważewski's theorems on closed domains
    • 2
    • H. Frankowska F. Rampazzo 2000 Filippov's and Filippov-Ważewski's theorems on closed domains J. Differ. Equ. 161 2 449 478
    • (2000) J. Differ. Equ. , vol.161 , pp. 449-478
    • Frankowska, H.1    Rampazzo, F.2
  • 14
    • 33845535277 scopus 로고    scopus 로고
    • Asymptotic solutions of Hamilton-Jacobi equations in Euclidean n space
    • 5
    • Y. Fujita H. Ishii P. Loreti 2006 Asymptotic solutions of Hamilton-Jacobi equations in Euclidean n space Indiana Univ. Math. J. 55 5 1671 1700
    • (2006) Indiana Univ. Math. J. , vol.55 , pp. 1671-1700
    • Fujita, Y.1    Ishii, H.2    Loreti, P.3
  • 15
    • 45849142961 scopus 로고    scopus 로고
    • Asymptotic solutions of Hamilton-Jacobi equations with semi-periodic Hamiltonians
    • to appear
    • Ichihara, N., Ishii, H.: Asymptotic solutions of Hamilton-Jacobi equations with semi-periodic Hamiltonians. Commun. Partial Differ. Equ. (2008, to appear)
    • (2008) Commun. Partial Differ. Equ.
    • Ichihara, N.1    Ishii, H.2
  • 17
    • 39049118711 scopus 로고    scopus 로고
    • Representation formulas for solutions of Hamilton-Jacobi equations with convex Hamiltonians
    • 5
    • H. Ishii H. Mitake 2007 Representation formulas for solutions of Hamilton-Jacobi equations with convex Hamiltonians Indiana Univ. Math. J. 56 5 2159 2184
    • (2007) Indiana Univ. Math. J. , vol.56 , pp. 2159-2184
    • Ishii, H.1    Mitake, H.2
  • 18
    • 0011143805 scopus 로고
    • Generalized solutions of nonlinear equations of the first order with several independent variables. II
    • 114. (in Russian)
    • S.N. Kružkov 1967 Generalized solutions of nonlinear equations of the first order with several independent variables. II Mat. Sb. (N.S.) 72 114 108 134 (in Russian)
    • (1967) Mat. Sb. (N.S.) , vol.72 , pp. 108-134
    • Kružkov, S.N.1
  • 19
    • 0003292086 scopus 로고
    • Generalized Solutions of Hamilton-Jacobi Equations
    • Pitman London
    • Lions, P.-L.: Generalized Solutions of Hamilton-Jacobi Equations. Research Notes in Mathematics, vol. 69. Pitman, London (1982)
    • (1982) Research Notes in Mathematics , vol.69
    • Lions, P.-L.1
  • 20
    • 0000123026 scopus 로고
    • Approximation and regularity results on constrained viscosity solutions of Hamilton-Jacobi-Bellman equations
    • 4
    • P. Loreti M.E. Tessitore 1994 Approximation and regularity results on constrained viscosity solutions of Hamilton-Jacobi-Bellman equations J. Math. Syst. Estim. Control 4 4 467 483
    • (1994) J. Math. Syst. Estim. Control , vol.4 , pp. 467-483
    • Loreti, P.1    Tessitore, M.E.2
  • 21
    • 0033475055 scopus 로고    scopus 로고
    • Remarks on the long time behaviour of the solutions of Hamilton-Jacobi equations
    • 5-6
    • G. Namah J.-M. Roquejoffre 1999 Remarks on the long time behaviour of the solutions of Hamilton-Jacobi equations Commun. Partial Differ. Equ. 24 5-6 883 893
    • (1999) Commun. Partial Differ. Equ. , vol.24 , pp. 883-893
    • Namah, G.1    Roquejoffre, J.-M.2
  • 22
    • 0035216389 scopus 로고    scopus 로고
    • Convergence to steady states or periodic solutions in a class of Hamilton-Jacobi equations
    • 1
    • J.-M. Roquejoffre 2001 Convergence to steady states or periodic solutions in a class of Hamilton-Jacobi equations J. Math. Pures Appl. 80 1 85 104
    • (2001) J. Math. Pures Appl. , vol.80 , pp. 85-104
    • Roquejoffre, J.-M.1
  • 23
    • 0022715502 scopus 로고
    • Optimal control with state-space constraint. i
    • 3
    • H.M. Soner 1986 Optimal control with state-space constraint. I J. SIAM Control Optim. 24 3 552 561
    • (1986) J. SIAM Control Optim. , vol.24 , pp. 552-561
    • Soner, H.M.1
  • 24
    • 0031528002 scopus 로고    scopus 로고
    • Lipschitz continuity of the value function in optimal control
    • 2
    • V.M. Veliov 1997 Lipschitz continuity of the value function in optimal control J. Optim. Theory Appl. 94 2 335 363
    • (1997) J. Optim. Theory Appl. , vol.94 , pp. 335-363
    • Veliov, V.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.