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Volumn 6, Issue 8, 1996, Pages 1103-1118

Interface estimates for the fully anisotropic Allen-Cahn equation and anisotropic mean-curvature flow

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EID: 0030352056     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202596000456     Document Type: Article
Times cited : (21)

References (20)
  • 1
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    • Allen, S.M.1    Cahn, J.W.2
  • 3
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    • Quasi-optimal error estimates for the mean-curvature flow with a forcing term
    • G. Bellettini and M. Paolini, Quasi-optimal error estimates for the mean-curvature flow with a forcing term, Differential Integral Equations 8 (1995) 735-752.
    • (1995) Differential Integral Equations , vol.8 , pp. 735-752
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  • 4
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    • Anisotropic motion by mean curvature in the context of Finsler geometry
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    • G. Bellettini and M. Paolini, Anisotropic motion by mean curvature in the context of Finsler geometry, to appear in Hokkaido Math. J.
    • Hokkaido Math. J.
    • Bellettini, G.1    Paolini, M.2
  • 5
    • 0002252307 scopus 로고
    • Curvature dependent phase boundary motion, and parabolic obstacle problems
    • eds. W. Ni, L. Peletier and J. L. Vasquez Springer-Verlag
    • J. F. Blowey and C. M. Elliott, Curvature dependent phase boundary motion, and parabolic obstacle problems, in Proc. IMA Workshop on Degenerate Diffusion, eds. W. Ni, L. Peletier and J. L. Vasquez (Springer-Verlag, 1993), Vol. 47, pp. 19-60.
    • (1993) Proc. IMA Workshop on Degenerate Diffusion , vol.47 , pp. 19-60
    • Blowey, J.F.1    Elliott, C.M.2
  • 6
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    • Generation and Propagation of interface in reaction-diffusion equations
    • X. Chen, Generation and Propagation of interface in reaction-diffusion equations, J. Differential Equations 96 (1992) 116-141.
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  • 7
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    • Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
    • Y. G. Chen, Y. Giga and S. Goto, Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations, J. Differential Geom. 33 (1991) 749-786.
    • (1991) J. Differential Geom. , vol.33 , pp. 749-786
    • Chen, Y.G.1    Giga, Y.2    Goto, S.3
  • 8
    • 0037849059 scopus 로고
    • Asymptotics for a parabolic double obstacle problem
    • X. Chen and C. M. Elliott, Asymptotics for a parabolic double obstacle problem, Proc. Roy. Soc. London Ser. A 444 (1994) 429-445.
    • (1994) Proc. Roy. Soc. London Ser. A , vol.444 , pp. 429-445
    • Chen, X.1    Elliott, C.M.2
  • 9
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • M. G. Crandall, H. Ishi and P.-L. Lions, User's guide to viscosity solutions of second order partial differential equations, Bull. Amer. Math. Soc. (N.S.) 27 (1992) 1-67.
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    • Crandall, M.G.1    Ishi, H.2    Lions, P.-L.3
  • 11
  • 12
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    • The limit of the fully anisotropic double-obstacle Allen-Cahn equation in the non-smooth case
    • to appear
    • C. M. Elliott and R. Schätzle, The limit of the fully anisotropic double-obstacle Allen-Cahn equation in the non-smooth case, to appear in SIAM J. Math. Anal.
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    • Elliott, C.M.1    Schätzle, R.2
  • 13
    • 84990617538 scopus 로고
    • Phase transitions and generalized motion by mean curvature
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    • (1992) Comm. Pure Appl. Math. , vol.45 , pp. 1097-1123
    • Evans, L.C.1    Soner, H.M.2    Souganidis, P.E.3
  • 16
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    • The gradient theory of phase transitions and the minimal interface criterion
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  • 18
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    • Convergence of double obstacle problems to the generalized geometric motions of fronts
    • to appear
    • R. H. Nochetto and C. Verdi, Convergence of double obstacle problems to the generalized geometric motions of fronts, to appear in SIAM J. Math. Anal.
    • SIAM J. Math. Anal.
    • Nochetto, R.H.1    Verdi, C.2
  • 19
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    • Linking anisotropic sharp and diffuse surface motion laws via gradient flows
    • J. E. Taylor and J. W. Cahn, Linking anisotropic sharp and diffuse surface motion laws via gradient flows, J. Statist. Phys. 77 (1993) 183-197.
    • (1993) J. Statist. Phys. , vol.77 , pp. 183-197
    • Taylor, J.E.1    Cahn, J.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.