메뉴 건너뛰기




Volumn 26, Issue 4, 2009, Pages 1299-1308

Uniqueness of values of Aronsson operators and running costs in "tug-of-war" games

Author keywords

"Tug of war" games; Aronsson operators; Infinity Laplacian operator

Indexed keywords

LAPLACE EQUATION; LAPLACE TRANSFORMS; MATHEMATICAL OPERATORS; MILITARY OPERATIONS; VISCOSITY;

EID: 67649528633     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.anihpc.2008.11.001     Document Type: Article
Times cited : (8)

References (17)
  • 2
    • 84975909554 scopus 로고
    • ′ (x)). II
    • ′ (x)). II. Ark. Mat. 6 (1969) 409-431
    • (1969) Ark. Mat. , vol.6 , pp. 409-431
    • Aronsson, G.1
  • 3
    • 0001457134 scopus 로고
    • Extension of functions satisfying Lipschitz conditions
    • Aronsson G. Extension of functions satisfying Lipschitz conditions. Ark. Mat. 6 (1967) 551-561
    • (1967) Ark. Mat. , vol.6 , pp. 551-561
    • Aronsson, G.1
  • 4
    • 0040322556 scopus 로고
    • ′ (x)). III
    • ′ (x)). III. Ark. Mat. 7 (1969) 509-512
    • (1969) Ark. Mat. , vol.7 , pp. 509-512
    • Aronsson, G.1
  • 5
    • 54049147343 scopus 로고    scopus 로고
    • The infinity Laplacian, Aronsson's equation and their generalizations
    • (electronic)
    • Barron E.N., Evans L.C., and Jensen R. The infinity Laplacian, Aronsson's equation and their generalizations. Trans. Amer. Math. Soc. 360 1 (2008) 77-101 (electronic)
    • (2008) Trans. Amer. Math. Soc. , vol.360 , Issue.1 , pp. 77-101
    • Barron, E.N.1    Evans, L.C.2    Jensen, R.3
  • 7
    • 0038170019 scopus 로고    scopus 로고
    • An efficient derivation of the Arronson equation
    • Crandall M.G. An efficient derivation of the Arronson equation. Arch. Ration. Mech. Anal. 167 4 (2003) 271-279
    • (2003) Arch. Ration. Mech. Anal. , vol.167 , Issue.4 , pp. 271-279
    • Crandall, M.G.1
  • 9
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • Crandall M.G., Ishii H., and Lions P.L. User's guide to viscosity solutions of second order partial differential equations. Bull. Amer. Math. Soc. 27 (1992) 1-67
    • (1992) Bull. Amer. Math. Soc. , vol.27 , pp. 1-67
    • Crandall, M.G.1    Ishii, H.2    Lions, P.L.3
  • 11
    • 0000102847 scopus 로고
    • Some min-max methods for the Hamilton-Jacobi equation
    • Evans L.C. Some min-max methods for the Hamilton-Jacobi equation. Indiana Univ. Math. J. 33 1 (1984) 31-50
    • (1984) Indiana Univ. Math. J. , vol.33 , Issue.1 , pp. 31-50
    • Evans, L.C.1
  • 12
    • 21144476154 scopus 로고
    • Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient
    • Jensen R. Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient. Arch. Ration. Mech. Anal. 123 1 (1993) 51-74
    • (1993) Arch. Ration. Mech. Anal. , vol.123 , Issue.1 , pp. 51-74
    • Jensen, R.1
  • 13
    • 38249040009 scopus 로고
    • On the single valuedness of Hamilton-Jacobi operators
    • Frankowska H. On the single valuedness of Hamilton-Jacobi operators. Nonlinear Anal. 10 12 (1986) 1477-1483
    • (1986) Nonlinear Anal. , vol.10 , Issue.12 , pp. 1477-1483
    • Frankowska, H.1
  • 14
    • 33747622601 scopus 로고    scopus 로고
    • Generalized cone comparison, Aronsson equation, and absolute minimizers
    • Gariepy R., Wang C., and Yu Y. Generalized cone comparison, Aronsson equation, and absolute minimizers. Comm. Partial Differential Equations 31 7-9 (2006) 1027-1046
    • (2006) Comm. Partial Differential Equations , vol.31 , Issue.7-9 , pp. 1027-1046
    • Gariepy, R.1    Wang, C.2    Yu, Y.3
  • 15
    • 0003269877 scopus 로고    scopus 로고
    • Minimization problems for Lipschitz functions via viscosity solutions
    • Juutinen P. Minimization problems for Lipschitz functions via viscosity solutions. Ann. Acad. Sci. Fenn. Math. Diss. 115 (1998)
    • (1998) Ann. Acad. Sci. Fenn. Math. Diss. , vol.115
    • Juutinen, P.1
  • 17
    • 33746239114 scopus 로고    scopus 로고
    • ∞ variational problems and the Aronsson equations
    • ∞ variational problems and the Aronsson equations. Arch. Ration. Mech. Anal. 182 1 (2006) 153-180
    • (2006) Arch. Ration. Mech. Anal. , vol.182 , Issue.1 , pp. 153-180
    • Yu, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.