메뉴 건너뛰기




Volumn 3, Issue 3, 2013, Pages 363-388

A new PDE approach to the large time asymptotics of solutions of Hamilton–Jacobi equations

Author keywords

Asymptotic behavior; Hamilton Jacobi equations; PDE approach

Indexed keywords


EID: 84942234272     PISSN: 16643607     EISSN: 16643615     Source Type: Journal    
DOI: 10.1007/s13373-013-0036-0     Document Type: Article
Times cited : (16)

References (19)
  • 1
    • 0142210042 scopus 로고
    • Remarques sur des résultats d’existence pour les équations de Hamilton–Jacobi du premier ordre
    • Barles, G.: Remarques sur des résultats d’existence pour les équations de Hamilton–Jacobi du premier ordre. Ann. Inst. H. Poincaré Anal. Non Linéaire 2(1), 21–32 (1985)
    • (1985) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.2 , Issue.1 , pp. 21-32
    • Barles, G.1
  • 3
    • 84859709753 scopus 로고    scopus 로고
    • On the large time behavior of solutions of Hamilton–Jacobi equations associated with nonlinear boundary conditions
    • Barles, G., Ishii, H., Mitake, H.: On the large time behavior of solutions of Hamilton–Jacobi equations associated with nonlinear boundary conditions. Arch. Ration. Mech. Anal. 204(2), 515–558 (2012)
    • (2012) Arch. Ration. Mech. Anal , vol.204 , Issue.2 , pp. 515-558
    • Barles, G.1    Ishii, H.2    Mitake, H.3
  • 4
    • 84855449456 scopus 로고    scopus 로고
    • A PDE approach to large-time asymptotics for boundary-value problems for nonconvex Hamilton–Jacobi equations
    • Barles, G., Mitake, H.: A PDE approach to large-time asymptotics for boundary-value problems for nonconvex Hamilton–Jacobi equations. Commun. Partial Differ. Equ. 37(1), 136–168 (2012)
    • (2012) Commun. Partial Differ. Equ. , vol.37 , Issue.1 , pp. 136-168
    • Barles, G.1    Mitake, H.2
  • 5
    • 0034347336 scopus 로고    scopus 로고
    • On the large time behavior of solutions of Hamilton–Jacobi equations
    • Barles, 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
    • Barles, G.1    Souganidis, P.E.2
  • 6
    • 84942289465 scopus 로고    scopus 로고
    • Cagnetti, F., Gomes, D.A., Mitake, H., Tran, H.V.: A new method for large time behavior of convex Hamilton–Jacobi equations I: degenerate equations and weakly coupled systems, submitted (arXiv: 1212.4694)
    • Cagnetti, F., Gomes, D.A., Mitake, H., Tran, H.V.: A new method for large time behavior of convex Hamilton–Jacobi equations I: degenerate equations and weakly coupled systems, submitted (arXiv: 1212.4694)
  • 7
    • 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
  • 8
    • 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
  • 9
    • 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
  • 10
    • 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
  • 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
    • 84968483697 scopus 로고
    • A simple, direct proof of uniqueness for solutions of the Hamilton–Jacobi equations of eikonal type
    • Ishii, H.: A simple, direct proof of uniqueness for solutions of the Hamilton–Jacobi equations of eikonal type. Proc. Am. Math. Soc. 100(2), 247–251 (1987)
    • (1987) Proc. Am. Math. Soc. , vol.100 , Issue.2 , pp. 247-251
    • Ishii, H.1
  • 14
    • 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
    • 79960470757 scopus 로고    scopus 로고
    • Long-time asymptotic solutions of convex Hamilton–Jacobi equations with Neumann type boundary conditions
    • Ishii, H.: Long-time asymptotic solutions of convex Hamilton–Jacobi equations with Neumann type boundary conditions. Calc. Var. Partial Differ. Equ. 42(1–2), 189–209 (2011)
    • (2011) Calc. Var. Partial Differ. Equ. , vol.42 , Issue.1-2 , pp. 189-209
    • Ishii, H.1
  • 16
    • 84942289466 scopus 로고    scopus 로고
    • Lions, P.-L., Papanicolaou, G., Varadhan, S.R.S.: Homogenization of Hamilton–Jacobi equations. Unpublished work
    • Lions, P.-L., Papanicolaou, G., Varadhan, S.R.S.: Homogenization of Hamilton–Jacobi equations. Unpublished work
  • 17
    • 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
  • 18
    • 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
  • 19
    • 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 (1999)
    • (1999) Commun. Partial Differ. Equ. , vol.24 , Issue.5-6 , pp. 883-893
    • Namah, G.1    Roquejoffre, J.-M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.