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Volumn 74, Issue 251, 2005, Pages 1217-1230

A convergent difference scheme for the infinity laplacian: Construction of absolutely minimizing Lipschitz extensions

Author keywords

Finite difference; Infinity Laplacian; Viscosity solution

Indexed keywords


EID: 21644465169     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-04-01688-6     Document Type: Article
Times cited : (100)

References (20)
  • 1
    • 33747812053 scopus 로고
    • Axioms and fundamental equations of image processing
    • MR94j:68306
    • Luis Alvarez, Frédéric Guichard, Pierre-Louis Lions, and Jean-Michel Morel. Axioms and fundamental equations of image processing. Arch. Rational Mech. Anal., 123(3): 199-257, 1993. MR94j:68306
    • (1993) Arch. Rational Mech. Anal. , vol.123 , Issue.3 , pp. 199-257
    • Alvarez, L.1    Guichard, F.2    Lions, P.-L.3    Morel, J.-M.4
  • 2
    • 0001457134 scopus 로고
    • Extension of functions satisfying Lipschitz conditions
    • (1967). MR36:754
    • Gunnar Aronsson. Extension of functions satisfying Lipschitz conditions. Ark. Mat., 6:551-561 (1967), 1967. MR36:754
    • (1967) Ark. Mat. , vol.6 , pp. 551-561
    • Aronsson, G.1
  • 3
    • 84950356841 scopus 로고
    • yy = 0
    • (1968). MR38:6239
    • yy = 0. Ark. Mat., 7:395-425 (1968), 1968. MR38:6239
    • (1968) Ark. Mat. , vol.7 , pp. 395-425
    • Aronsson, G.1
  • 4
    • 0345799717 scopus 로고
    • yy = 0
    • MR85m:35011
    • yy = 0. Manuscripta Math., 47(1-3):133-151, 1984. MR85m:35011
    • (1984) Manuscripta Math. , vol.47 , Issue.1-3 , pp. 133-151
    • Aronsson, G.1
  • 6
    • 0038359246 scopus 로고    scopus 로고
    • Existence and comparison results for fully nonlinear degenerate elliptic equations without zeroth-order term
    • MR2002k:35078
    • Guy Barles and Jérôme Busca. Existence and comparison results for fully nonlinear degenerate elliptic equations without zeroth-order term. Comm. Partial Differential Equations, 26(11-12):2323-2337, 2001. MR2002k:35078
    • (2001) Comm. Partial Differential Equations , vol.26 , Issue.11-12 , pp. 2323-2337
    • Barles, G.1    Busca, J.2
  • 7
    • 84974753170 scopus 로고
    • Convergence of approximation schemes for fully nonlinear second order equations
    • MR92d:35137
    • Guy Barles and Panagiotis E. Souganidis, Convergence of approximation schemes for fully nonlinear second order equations. Asymptotic Anal., 4(3):271-283, 1991. MR92d:35137
    • (1991) Asymptotic Anal. , vol.4 , Issue.3 , pp. 271-283
    • Barles, G.1    Souganidis, P.E.2
  • 10
    • 33747776369 scopus 로고    scopus 로고
    • Kluwer, Boston, MA, May. R.W. Schafer, P. Maragos, and M.A. Butt, Eds.
    • Josep R. Casas and Luis Torres. Strong edge features for image coding, pages 443-450. Kluwer, Boston, MA, May 1996. R.W. Schafer, P. Maragos, and M.A. Butt, Eds. http:citeseer.nj.nec.com/113454.html.
    • (1996) Strong Edge Features for Image Coding , pp. 443-450
    • Casas, J.R.1    Torres, L.2
  • 11
    • 0032023750 scopus 로고    scopus 로고
    • An axiomatic approach to image interpolation
    • MR2000d:94001
    • Vicent Caselles, Jean-Michel Morel, and Catalina Sbert. An axiomatic approach to image interpolation. IEEE Trans. Image Process., 7(3):376-386, 1998. MR2000d:94001
    • (1998) IEEE Trans. Image Process. , vol.7 , Issue.3 , pp. 376-386
    • Caselles, V.1    Morel, J.-M.2    Sbert, C.3
  • 13
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • MR92j:35050
    • Michael G. Crandall, Hitoshi Ishii, and Pierre-Louis Lions. User's guide to viscosity solutions of second order partial differential equations. Bull. Amer. Math. Soc. (N.S.), 27(1):1-67, 1992. MR92j:35050
    • (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
  • 14
    • 0032622583 scopus 로고    scopus 로고
    • Differential equations methods for the Monge-Kantorovich mass transfer problem
    • MR99g:35132
    • Lawrence C. Evans and Wilfrid Gangbo. Differential equations methods for the Monge-Kantorovich mass transfer problem. Mem. Amer. Math. Soc., 137(653):viii+66, 1999. MR99g:35132
    • (1999) Mem. Amer. Math. Soc. , vol.137 , Issue.653
    • Evans, L.C.1    Gangbo, W.2
  • 15
    • 21644479341 scopus 로고    scopus 로고
    • Personal communication
    • Lawrence C. Evans. Personal communication.
    • Evans, L.C.1
  • 16
    • 21144476154 scopus 로고
    • Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient
    • MR94g:35063
    • Robert Jensen. Uniqueness of Lipschitz extensions: minimizing the sup norm of the gradient. Arch. Rational Mech. Anal., 123(1):51-74, 1993. MR94g:35063
    • (1993) Arch. Rational Mech. Anal. , vol.123 , Issue.1 , pp. 51-74
    • Jensen, R.1
  • 17
    • 84923279813 scopus 로고
    • Extension of range of functions
    • Edward James McShane. Extension of range of functions. Bull. Amer. Math. Soc., 40:837-842, 1934.
    • (1934) Bull. Amer. Math. Soc. , vol.40 , pp. 837-842
    • McShane, E.J.1
  • 19
    • 4243607361 scopus 로고
    • ∞ approximation of vector fields in the plane
    • Nonlinear partial differential equations in applied science (Tokyo, 1982),. North-Holland, Amsterdam. MR85c:49010
    • ∞ approximation of vector fields in the plane. In Nonlinear partial differential equations in applied science (Tokyo, 1982), volume 81 of North-Holland Math. Stud., pages 273-288. North-Holland, Amsterdam, 1983. MR85c:49010
    • (1983) North-Holland Math. Stud. , vol.81 , pp. 273-288
    • Strang, G.1
  • 20
    • 77956456169 scopus 로고
    • Analytic extensions of differentiable functions defined in closed sets
    • Hassler Whitney. Analytic extensions of differentiable functions defined in closed sets. Trans. Amer. Math. Soc., 36(1):63-89, 1934.
    • (1934) Trans. Amer. Math. Soc. , vol.36 , Issue.1 , pp. 63-89
    • Whitney, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.