메뉴 건너뛰기




Volumn 83, Issue 1, 1999, Pages 103-141

Conic singularities of solutions to problems in hydrodynamics of a viscous fluid with a free surface

(3)  Kozlov, V A a   Maz'ya, V a   Rossmann J a  

a NONE

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0041020505     PISSN: 00255521     EISSN: None     Source Type: Journal    
DOI: 10.7146/math.scand.a-13845     Document Type: Article
Times cited : (5)

References (24)
  • 1
    • 0002307515 scopus 로고
    • Stationary Stokes and Navier-Stokes systems on two- and three-dimensional domains with corners. Part I: Linearized equations
    • M. Dauge, Stationary Stokes and Navier-Stokes systems on two- and three-dimensional domains with corners. Part I: Linearized equations, SIAM J. Math. Anal. 20 (1989), 74-97.
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 74-97
    • Dauge, M.1
  • 2
    • 0002901977 scopus 로고
    • Une inéquation fondamentale de la théorie de l'élasticité
    • J. Gobert, Une inéquation fondamentale de la théorie de l'élasticité, Bull. Soc. Roy. Sci. Liège No. 3 and 4 (1962).
    • (1962) Bull. Soc. Roy. Sci. Liège , Issue.3-4
    • Gobert, J.1
  • 3
    • 0000201706 scopus 로고
    • Operator generalization of the theorem on the logarithmic residue and Rouché's theorem
    • I. I. Gohberg and E. I. Sigal, Operator generalization of the theorem on the logarithmic residue and Rouché's theorem, Matem. Sbornik 84 (1971) 4, 607-629 (English transl. in: Math. USSR Sb. 13 (1971)).
    • (1971) Matem. Sbornik , vol.84 , Issue.4 , pp. 607-629
    • Gohberg, I.I.1    Sigal, E.I.2
  • 4
    • 0039684024 scopus 로고
    • I. I. Gohberg and E. I. Sigal, Operator generalization of the theorem on the logarithmic residue and Rouché's theorem, Matem. Sbornik 84 (1971) 4, 607-629 (English transl. in: Math. USSR Sb. 13 (1971)).
    • (1971) Math. USSR Sb. , vol.13
  • 6
    • 0000309126 scopus 로고
    • Boundary value problems for elliptic equations in domains with conical or angular points
    • V. A. Kondrat'ev, Boundary value problems for elliptic equations in domains with conical or angular points, Trudy Moskov. Mat. Obshch. 16 (1967), 209-292 (English transl. in: Trans. Moscow Math. Soc. 16 (1968)).
    • (1967) Trudy Moskov. Mat. Obshch. , vol.16 , pp. 209-292
    • Kondrat'ev, V.A.1
  • 7
    • 0039091707 scopus 로고
    • V. A. Kondrat'ev, Boundary value problems for elliptic equations in domains with conical or angular points, Trudy Moskov. Mat. Obshch. 16 (1967), 209-292 (English transl. in: Trans. Moscow Math. Soc. 16 (1968)).
    • (1968) Trans. Moscow Math. Soc. , vol.16
  • 8
    • 0039684017 scopus 로고
    • On the spectrum of the pencil generated by the Dirichlet problem for elliptic equations in an angle
    • V. A. Kozlov, On the spectrum of the pencil generated by the Dirichlet problem for elliptic equations in an angle, Siberian Math. J. 32 (1991) 74-87 (Engl. transl. in: Siberian Math. J. 32 (1991) 2, 238-251).
    • (1991) Siberian Math. J. , vol.32 , pp. 74-87
    • Kozlov, V.A.1
  • 9
    • 0039684017 scopus 로고
    • V. A. Kozlov, On the spectrum of the pencil generated by the Dirichlet problem for elliptic equations in an angle, Siberian Math. J. 32 (1991) 74-87 (Engl. transl. in: Siberian Math. J. 32 (1991) 2, 238-251).
    • (1991) Siberian Math. J. , vol.32 , Issue.2 , pp. 238-251
  • 10
    • 0040870003 scopus 로고
    • On the Dirichlet problem for elliptic equations on domains with conical points
    • V. A. Kozlov, On the Dirichlet problem for elliptic equations on domains with conical points, Diff. Uravn. 26 (1990) 1014-1023 (Engl. transl. in: Diff. Equ. 26 (1990)739-747).
    • (1990) Diff. Uravn. , vol.26 , pp. 1014-1023
    • Kozlov, V.A.1
  • 11
    • 0040275764 scopus 로고
    • V. A. Kozlov, On the Dirichlet problem for elliptic equations on domains with conical points, Diff. Uravn. 26 (1990) 1014-1023 (Engl. transl. in: Diff. Equ. 26 (1990)739-747).
    • (1990) Diff. Equ. , vol.26 , pp. 739-747
  • 12
    • 0040367764 scopus 로고
    • Spectral properties of operator pencils generated by elliptic boundary value problems in a cone
    • V. A. Kozlov and V. G. Maz'ya, Spectral properties of operator pencils generated by elliptic boundary value problems in a cone (in Russian), Functional Analysis and its Applications 22 (1988), 38-46 (Engl. translation in: Functional Anal. Appl. 22 (1988) No. 2, 114-121).
    • (1988) Functional Analysis and Its Applications , vol.22 , pp. 38-46
    • Kozlov, V.A.1    Maz'ya, V.G.2
  • 13
    • 0040367764 scopus 로고
    • V. A. Kozlov and V. G. Maz'ya, Spectral properties of operator pencils generated by elliptic boundary value problems in a cone (in Russian), Functional Analysis and its Applications 22 (1988), 38-46 (Engl. translation in: Functional Anal. Appl. 22 (1988) No. 2, 114-121).
    • (1988) Functional Anal. Appl. , vol.22 , Issue.2 , pp. 114-121
  • 15
    • 21144482984 scopus 로고
    • On singularities of solutions of the displacement problem of linear elasticity near the vertex of a cone
    • V. A. Kozlov, V. G. Maz'ya and C. Schwab, On singularities of solutions of the displacement problem of linear elasticity near the vertex of a cone, Arch. Rational Mech. Anal. 119 (1992), 197-227.
    • (1992) Arch. Rational Mech. Anal. , vol.119 , pp. 197-227
    • Kozlov, V.A.1    Maz'ya, V.G.2    Schwab, C.3
  • 16
    • 0038850294 scopus 로고
    • On singularities of solutions to the Dirichlet problem of hydrodynamics near the vertex of a cone
    • V. A. Kozlov, V. G. Maz'ya, and C. Schwab, On singularities of solutions to the Dirichlet problem of hydrodynamics near the vertex of a cone J. Reine Angew. Math. 456 (1994), 65-97.
    • (1994) J. Reine Angew. Math. , vol.456 , pp. 65-97
    • Kozlov, V.A.1    Maz'ya, V.G.2    Schwab, C.3
  • 17
    • 0003796632 scopus 로고
    • Springer-Verlag, Berlin and New York
    • V. G. Maz'ya, Sobolev Spaces, Springer-Verlag, Berlin and New York, 1985.
    • (1985) Sobolev Spaces
    • Maz'ya, V.G.1
  • 18
    • 0002688101 scopus 로고
    • p and Hölder classes and the Miranda-Agmon maximum principle for solutions of elliptic boundary value problems in domains with singular points on the boundary
    • p and Hölder classes and the Miranda-Agmon maximum principle for solutions of elliptic boundary value problems in domains with singular points on the boundary, Math. Nachr. 81 (1978), 25-82 (Engl. translation in: Amer. Math. Soc. Transl 123 (1984)).
    • (1978) Math. Nachr. , vol.81 , pp. 25-82
    • Maz'ya, V.G.1    Plamenevskij, B.A.2
  • 19
    • 85087244921 scopus 로고
    • p and Hölder classes and the Miranda-Agmon maximum principle for solutions of elliptic boundary value problems in domains with singular points on the boundary, Math. Nachr. 81 (1978), 25-82 (Engl. translation in: Amer. Math. Soc. Transl 123 (1984)).
    • (1984) Amer. Math. Soc. Transl , vol.123
  • 20
    • 0040767928 scopus 로고
    • On properties of solutions of three-dimensional problems of elasticity theory and hydrodynamics in domains with isolated singular points
    • V. G. Maz'ya and B. A. Plamenevskij, On properties of solutions of three-dimensional problems of elasticity theory and hydrodynamics in domains with isolated singular points, Dinamika Sloshnoi Sredy 50 (1981) 99-120 (Engl. translation in: Amer. Math. Soc. Transl. (2) 123 (1984) 109-123).
    • (1981) Dinamika Sloshnoi Sredy , vol.50 , pp. 99-120
    • Maz'ya, V.G.1    Plamenevskij, B.A.2
  • 21
    • 0040767933 scopus 로고
    • V. G. Maz'ya and B. A. Plamenevskij, On properties of solutions of three-dimensional problems of elasticity theory and hydrodynamics in domains with isolated singular points, Dinamika Sloshnoi Sredy 50 (1981) 99-120 (Engl. translation in: Amer. Math. Soc. Transl. (2) 123 (1984) 109-123).
    • (1984) Amer. Math. Soc. Transl. (2) , vol.123 , pp. 109-123
  • 23
    • 0039669923 scopus 로고
    • V. G. Maz'ya, B. A. Plamenevskij and L. I. Stupyalis, The three-dimensional problem of steady-state motion of a fluid with a free surface, Diff. Uravn. i Primenen.-Trudy Sem. Protsessy Optimal. Upravl. 23 (1979) (Engl. transl. in Amer. Math Soc. Transl. 123 (1984) 171-268).
    • (1984) Amer. Math Soc. Transl. , vol.123 , pp. 171-268


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.