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Volumn 1, Issue 1, 1996, Pages 51-72

Degenerate parabolic pdes with discontinuities and generalized evolutions of surfaces

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EID: 0013035240     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (14)

References (13)
  • 1
    • 33847303953 scopus 로고
    • Multiphase thermodynamics with interfacial structure 2. Evolution of an isothermal interface
    • S.B. Angenent and M.E.Gurtin, Multiphase thermodynamics with interfacial structure 2. Evolution of an isothermal interface, Arch. Rational Mech. Anal., 108 (1989), 323-391.
    • (1989) Arch. Rational Mech. Anal. , vol.108 , pp. 323-391
    • Angenent, S.B.1    Gurtin, M.E.2
  • 4
    • 84972499852 scopus 로고
    • 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 Geometry, 33 (1991), 749-786.
    • (1991) J. Differential Geometry , vol.33 , pp. 749-786
    • Chen, Y.-G.1    Giga, Y.2    Goto, S.3
  • 5
    • 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., 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
  • 6
    • 84972518016 scopus 로고
    • Motion of level sets by mean curvature I
    • L.C. Evans and J. Spruck, Motion of level sets by mean curvature I, J. Differential Geometry, 33 (1991), 635-681.
    • (1991) J. Differential Geometry , vol.33 , pp. 635-681
    • Evans, L.C.1    Spruck, J.2
  • 8
    • 0000357774 scopus 로고
    • Comparison principle and convexity preserving properties for singular degenerate parabolic equations on unbounded domains
    • Y. Giga, S. Goto, H. Ishii and M. Sato, Comparison principle and convexity preserving properties for singular degenerate parabolic equations on unbounded domains, Indiana Univ. Math. J., 40 (1991), 443-470.
    • (1991) Indiana Univ. Math. J. , vol.40 , pp. 443-470
    • Giga, Y.1    Goto, S.2    Ishii, H.3    Sato, M.4
  • 10
    • 84972537504 scopus 로고
    • Generalized motion of hypersurfaces whose growth speed depends superlinearly on the curvature tensor
    • S. Goto, Generalized motion of hypersurfaces whose growth speed depends superlinearly on the curvature tensor, Diff. Int. Equations, 7 (1994), 323-343.
    • (1994) Diff. Int. Equations , vol.7 , pp. 323-343
    • Goto, S.1
  • 12
    • 84972546686 scopus 로고
    • Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor
    • H. Ishii and P.E. Souganidis, Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor, Tôhoku Math. J., 47 (1995), 227-250.
    • (1995) Tôhoku Math. J. , vol.47 , pp. 227-250
    • Ishii, H.1    Souganidis, P.E.2
  • 13
    • 84972520473 scopus 로고
    • Singular degenerate parabolic equations with applications to geometric evolutions
    • M. Ohnuma and M. Sato, Singular degenerate parabolic equations with applications to geometric evolutions, Diff. Int. Equations, 6 (1993), 1265-1380.
    • (1993) Diff. Int. Equations , vol.6 , pp. 1265-1380
    • Ohnuma, M.1    Sato, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.