메뉴 건너뛰기




Volumn 42, Issue 1, 2011, Pages 189-209

Long-time asymptotic solutions of convex Hamilton-Jacobi equations with Neumann type boundary conditions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 79960470757     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00526-010-0385-4     Document Type: Article
Times cited : (14)

References (21)
  • 2
    • 0000378860 scopus 로고
    • Asymptotic behavior of viscosity solutions of first Hamilton-Jacobi equations
    • Barles G.: Asymptotic behavior of viscosity solutions of first Hamilton-Jacobi equations. Ric. Mat. 34(2), 227-260 (1985).
    • (1985) Ric. Mat. , vol.34 , Issue.2 , pp. 227-260
    • Barles, G.1
  • 3
    • 0003267441 scopus 로고
    • Solutions de viscosité des équations de Hamilton-Jacobi
    • Springer, Paris
    • Barles, G.: Solutions de viscosité des équations de Hamilton-Jacobi. In: Mathématiques and Applications. Springer, Paris (1994).
    • (1994) Mathématiques and Applications
    • Barles, G.1
  • 4
    • 33746839663 scopus 로고    scopus 로고
    • Ergodic type problems and large time behaviour of unbounded solutions of Hamilton-Jacobi equations
    • Barles G., Roquejoffre J.-M.: Ergodic type problems and large time behaviour of unbounded solutions of Hamilton-Jacobi equations. Comm. Partial Differ. Equ. 31(7-9), 1209-1225 (2006).
    • (2006) Comm. Partial Differ. Equ. , vol.31 , Issue.7-9 , pp. 1209-1225
    • Barles, G.1    Roquejoffre, J.-M.2
  • 5
    • 0034347336 scopus 로고    scopus 로고
    • On the large time behavior of solutions of Hamilton-Jacobi equations
    • Brales G., Souganidis P. E.: On the large time behavior of solutions of Hamilton-Jacobi equations. SIAM J. Math. Anal. 31(4), 925-939 (2000).
    • (2000) SIAM J. Math. Anal. , vol.31 , Issue.4 , pp. 925-939
    • Brales, G.1    Souganidis, P.E.2
  • 6
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • Crandall M. G., Ishii H., Lions P.-L.: User's guide to viscosity solutions of second order partial differential equations. Bull. Am. Math. Soc. (N. S.) 27(1), 1-67 (1992).
    • (1992) Bull. Am. Math. Soc. (N.S.) , vol.27 , Issue.1 , pp. 1-67
    • Crandall, M.G.1    Ishii, H.2    Lions, P.-L.3
  • 7
    • 33947248437 scopus 로고    scopus 로고
    • A generalized dynamical approach to the large time behavior of solutions of Hamilton-Jacobi equations
    • Davini A., Siconolfi A.: A generalized dynamical approach to the large time behavior of solutions of Hamilton-Jacobi equations. SIAM J. Math. Anal. 38(2), 478-502 (2006).
    • (2006) SIAM J. Math. Anal. , vol.38 , Issue.2 , pp. 478-502
    • Davini, A.1    Siconolfi, A.2
  • 8
    • 0032138156 scopus 로고    scopus 로고
    • Sur la convergence du semi-groupe de Lax-Oleinik
    • Fathi A.: Sur la convergence du semi-groupe de Lax-Oleinik. C. R. Acad. Sci. Paris Sér. I Math. 327(3), 267-270 (1998).
    • (1998) C. R. Acad. Sci. Paris Sér. I Math. , vol.327 , Issue.3 , pp. 267-270
    • Fathi, A.1
  • 9
    • 33845535277 scopus 로고    scopus 로고
    • Asymptotic solutions of Hamilton-Jacobi equations in Euclidean n space
    • Fujita Y., Ishii H., Loreti P.: Asymptotic solutions of Hamilton-Jacobi equations in Euclidean n space. Indiana Univ. Math. J. 55(5), 1671-1700 (2006).
    • (2006) Indiana Univ. Math. J. , vol.55 , Issue.5 , pp. 1671-1700
    • Fujita, Y.1    Ishii, H.2    Loreti, P.3
  • 10
    • 45849142961 scopus 로고    scopus 로고
    • Asymptotic solutions of Hamilton-Jacobi equations with semi-periodic Hamiltonians
    • Ichihara N., Ishii H.: Asymptotic solutions of Hamilton-Jacobi equations with semi-periodic Hamiltonians. Commun. Partial Differ. Equ. 33(4-6), 784-807 (2008).
    • (2008) Commun. Partial Differ. Equ. , vol.33 , Issue.4-6 , pp. 784-807
    • Ichihara, N.1    Ishii, H.2
  • 11
    • 68349100620 scopus 로고    scopus 로고
    • The large-time behavior of solutions of Hamilton-Jacobi equations on the real line
    • Ichihara N., Ishii H.: The large-time behavior of solutions of Hamilton-Jacobi equations on the real line. Methods Appl. Anal. 15(2), 223-242 (2008).
    • (2008) Methods Appl. Anal. , vol.15 , Issue.2 , pp. 223-242
    • Ichihara, N.1    Ishii, H.2
  • 12
    • 70349498824 scopus 로고    scopus 로고
    • Long-time behavior of solutions of Hamilton-Jacobi equations with convex and coercive Hamiltonians
    • Ichihara N., Ishii H.: Long-time behavior of solutions of Hamilton-Jacobi equations with convex and coercive Hamiltonians. Arch. Ration. Mech. Anal. 194(2), 383-419 (2009).
    • (2009) Arch. Ration. Mech. Anal. , vol.194 , Issue.2 , pp. 383-419
    • Ichihara, N.1    Ishii, H.2
  • 13
    • 40049091116 scopus 로고    scopus 로고
    • Asymptotic solutions for large time of Hamilton-Jacobi equations in Euclidean n space
    • Ishii H.: Asymptotic solutions for large time of Hamilton-Jacobi equations in Euclidean n space. Ann. Inst. H. Poincaré Anal. Non Linéaire 25(2), 231-266 (2008).
    • (2008) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.25 , Issue.2 , pp. 231-266
    • Ishii, H.1
  • 15
    • 0011143805 scopus 로고
    • Generalized solutions of nonlinear equations of the first order with several independent variables. II (in Russian)
    • Kruzkov S. N.: Generalized solutions of nonlinear equations of the first order with several independent variables. II (in Russian). Mat. Sb. (N. S.) 72(114), 108-134 (1967).
    • (1967) Mat. Sb. (N.S.) , vol.72 , Issue.114 , pp. 108-134
    • Kruzkov, S.N.1
  • 16
    • 0003292086 scopus 로고
    • Generalized solutions of Hamilton-Jacobi equations
    • Pitman, London
    • Lions, P.-L.: Generalized solutions of Hamilton-Jacobi equations. In: Research Notes in Mathematics, vol. 69. Pitman, London (1982).
    • (1982) Research Notes In Mathematics , vol.69
    • Lions, P.-L.1
  • 17
    • 84972559573 scopus 로고
    • Neumann type boundary conditions for Hamilton-Jacobi equations
    • Lions P.-L.: Neumann type boundary conditions for Hamilton-Jacobi equations. Duke Math. J. 52(4), 793-820 (1985).
    • (1985) Duke Math. J. , vol.52 , Issue.4 , pp. 793-820
    • Lions, P.-L.1
  • 18
    • 54949120627 scopus 로고    scopus 로고
    • Asymptotic solutions of Hamilton-Jacobi equations with state constraints
    • Mitake H.: Asymptotic solutions of Hamilton-Jacobi equations with state constraints. Appl. Math. Optim. 58(3), 393-410 (2008).
    • (2008) Appl. Math. Optim. , vol.58 , Issue.3 , pp. 393-410
    • Mitake, H.1
  • 19
    • 55749102303 scopus 로고    scopus 로고
    • The large-time behavior of solutions of the Cauchy-Dirichlet problem for hamilton-jacobi equations
    • Mitake H.: The large-time behavior of solutions of the Cauchy-Dirichlet problem for hamilton-jacobi equations. NoDEA Nonlinear Differ. Equ. Appl. 15(3), 347-362 (2008).
    • (2008) NoDEA Nonlinear Differ. Equ. Appl. , vol.15 , Issue.3 , pp. 347-362
    • Mitake, H.1
  • 20
    • 0033475055 scopus 로고    scopus 로고
    • Remarks on the long time behaviour of the solutions of Hamilton-Jacobi equations
    • Namah G., Roquejoffre J.-M.: Remarks on the long time behaviour of the solutions of Hamilton-Jacobi equations. Commun. Partial Differ. Equ. 24(5-6), 883-893 (1997).
    • (1997) Commun. Partial Differ. Equ. , vol.24 , Issue.5-6 , pp. 883-893
    • Namah, G.1    Roquejoffre, J.-M.2
  • 21
    • 0035216389 scopus 로고    scopus 로고
    • Convergence to steady states or periodic solutions in a class of Hamilton-Jacobi equations
    • Roquejoffre J.-M.: Convergence to steady states or periodic solutions in a class of Hamilton-Jacobi equations. J. Math. Pures Appl. (9) 80(1), 85-104 (2001).
    • (2001) J. Math. Pures Appl. (9) , vol.80 , Issue.1 , pp. 85-104
    • Roquejoffre, J.-M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.