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Volumn 2002, Issue , 2002, Pages

Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate elliptic equations

Author keywords

Continuous dependence estimate; Convergence rate; Fully nonlinear degenerate elliptic equation; Hamilton jacobi bellman isaacs equation; Vanishing viscosity method; Viscosity solution

Indexed keywords


EID: 52449128794     PISSN: 10726691     EISSN: 10726691     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (17)

References (9)
  • 1
    • 0036012033 scopus 로고    scopus 로고
    • On the convergence rate for approximation schemes for the Hamilton-Jacobi-Bellman equation
    • G. Barles and E. R. Jakobsen. On the convergence rate for approximation schemes for the Hamilton-Jacobi-Bellman equation. M2AN Math. Model. Numer. Anal, 36(1):33-54, 2002.
    • (2002) M2AN Math. Model. Numer. Anal , vol.36 , Issue.1 , pp. 33-54
    • Barles, G.1    Jakobsen, E.R.2
  • 2
    • 0001657843 scopus 로고    scopus 로고
    • Continuous dependence on the nonlinearity of viscosity solutions of parabolic equations
    • B. Cockburn, G. Gripenberg, and S.-O. Londen. Continuous dependence on the nonlinearity of viscosity solutions of parabolic equations. J. Differential Equations, 170(1):180-187, 2001.
    • (2001) J. Differential Equations , vol.170 , Issue.1 , pp. 180-187
    • Cockburn, B.1    Gripenberg, G.2    Londen, S.-O.3
  • 3
    • 84972560830 scopus 로고
    • The maximum principle for semicontinuous functions
    • M. G. Crandall and H. Ishii. The maximum principle for semicontinuous functions. Differential Integral Equations, 3(6):1001-1014, 1990.
    • (1990) Differential Integral Equations , vol.3 , Issue.6 , pp. 1001-1014
    • Crandall, M.G.1    Ishii, H.2
  • 4
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • 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(1):1-67, 1992.
    • (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
  • 5
    • 52449087077 scopus 로고    scopus 로고
    • Estimates for viscosity solutions of parabolic equations with Dirichlet boundary conditions
    • To appear.
    • G. Gripenberg Estimates for viscosity solutions of parabolic equations with Dirichlet boundary conditions. Proc. Amer. Math. Soc. To appear.
    • Proc. Amer. Math. Soc.
    • Gripenberg, G.1
  • 6
    • 0009926749 scopus 로고    scopus 로고
    • Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate parabolic equations
    • To appear.
    • E. R. Jakobsen and K. H. Karlsen. Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate parabolic equations. J. Differential Equations. To appear.
    • J. Differential Equations.
    • Jakobsen, E.R.1    Karlsen, K.H.2
  • 7
    • 0009902322 scopus 로고
    • Existence results for first-order Hamilton-Jacob! equations
    • P.-L. Lions. Existence results for first-order Hamilton-Jacob! equations. Ricerche Mat., 32(l):3-23, 1983.
    • (1983) Ricerche Mat. , vol.32 , Issue.50 , pp. 3-23
    • Lions, P.-L.1
  • 8
    • 46549099599 scopus 로고
    • Existence of viscosity solutions of Hamilton-Jacobi equations
    • P. E. Souganidis. Existence of viscosity solutions of Hamilton-Jacobi equations. J. Differential Equations, 56(3):345-390, 1985.
    • (1985) J. Differential Equations , vol.56 , Issue.3 , pp. 345-390
    • Souganidis, P.E.1
  • 9
    • 33845803546 scopus 로고    scopus 로고
    • Two-player, zero-sum differential games and viscosity solutions
    • Birkhäuser Boston, Boston, MA
    • P. E. Souganidis. Two-player, zero-sum differential games and viscosity solutions. In Stochastic and differential games, pages 69-104. Birkhäuser Boston, Boston, MA, 1999.
    • (1999) Stochastic and Differential Games
    • Souganidis, P.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.