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Volumn 189, Issue , 1998, Pages 61-105

The Dirichlet, Neumann and mixed boundary value problems of the theory of elasticity in n-dimensional domains with boundaries containing closed cuspidal edges

Author keywords

Anisotropic homogeneous media; Compatibility condition; Dirichlet; Neumann and mixed problems; Pseudodifferential operators

Indexed keywords


EID: 0039066418     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/mana.19981890106     Document Type: Article
Times cited : (10)

References (33)
  • 1
    • 0040510525 scopus 로고
    • Elliptic singular integrodifferential operators
    • in Russian
    • AGRANOVICH, M.: Elliptic Singular Integrodifferential Operators, Uspekhi Mat. Nauk 20, No. 5 (1965), 3-120 (in Russian)
    • (1965) Uspekhi Mat. Nauk , vol.20 , Issue.5 , pp. 3-120
    • Agranovich, M.1
  • 2
    • 0007123471 scopus 로고
    • On uniqueness of solutions of the principal problems of elasticity theory for infinity domains
    • in Russian
    • BUCHUKURI, T. V., and GEGELIA, T. G.: On Uniqueness of Solutions of the Principal Problems of Elasticity Theory for Infinity Domains, Diffrentsial'nye Uravneniya 25, No. 9 (1989), 1556-1565 (in Russian)
    • (1989) Diffrentsial'nye Uravneniya , vol.25 , Issue.9 , pp. 1556-1565
    • Buchukuri, T.V.1    Gegelia, T.G.2
  • 3
    • 0039725531 scopus 로고
    • Qualitative properties of solutions of the basic equations of the elasticity theory near singular points
    • in Russian
    • BUCHUKURI, T. V., and GEGELIA, T. G.: Qualitative Properties of Solutions of the Basic Equations of the Elasticity Theory near Singular Points, Trudy Tbilissk. Mat. Inst. Razmadze 90 (1988), 40-67 (in Russian)
    • (1988) Trudy Tbilissk. Mat. Inst. Razmadze , vol.90 , pp. 40-67
    • Buchukuri, T.V.1    Gegelia, T.G.2
  • 5
    • 0039712358 scopus 로고
    • The nonclassical boundary-contact problems of elasticity for homogeneous anisotropic media
    • CHKADUA, O. O.: The Nonclassical Boundary-Contact Problems of Elasticity for Homogeneous Anisotropic Media,Math. Nachr. 172 (1995), 79-64
    • (1995) Math. Nachr. , vol.172 , pp. 79-164
    • Chkadua, O.O.1
  • 6
    • 0040304266 scopus 로고
    • The boundary-contact problems of elasticity for homogeneous anisotropic media with a contact on some part of the boundaries
    • CHKADUA, O. O.: The Boundary-Contact Problems of Elasticity for Homogeneous Anisotropic Media with a Contact on Some Part of the Boundaries, Georgian Math. J. 2, No. 2 (1965), 111-122
    • (1965) Georgian Math. J. , vol.2 , Issue.2 , pp. 111-122
    • Chkadua, O.O.1
  • 7
    • 0039768865 scopus 로고    scopus 로고
    • Some boundary-contact problems of elasticity theory with mixed boundary conditions outside the contact surface
    • CHKADUA, O.: Some Boundary-Contact Problems of Elasticity Theory with Mixed Boundary Conditions outside the Contact Surface, Math. Nachr. 188 (1997)
    • (1997) Math. Nachr. , vol.188
    • Chkadua, O.1
  • 10
    • 0011340183 scopus 로고
    • On multidimensional singular integral operators
    • in Russian
    • DUDUCHAVA, R.: On Multidimensional Singular Integral Operators, J. Oper. Theory 11 (1984), 41-76, 199-214 (in Russian)
    • (1984) J. Oper. Theory , vol.11 , pp. 41-76
    • Duduchava, R.1
  • 14
    • 0003295381 scopus 로고
    • Boundary value problems for elliptic pseudodifferential equations
    • AMS, Providence, Rhode Island
    • ESKIN, G. I.: Boundary Value Problems for Elliptic Pseudodifferential Equations, Vol. 52 of Translations of Mathematical Monographs, AMS, Providence, Rhode Island, 1981
    • (1981) Vol. 52 of Translations of Mathematical Monographs , vol.52
    • Eskin, G.I.1
  • 15
    • 0000390501 scopus 로고
    • Existence theorems in elasticity
    • 2, Springer-Verlag, Heidelberg
    • FICHERA, G.: Existence Theorems in Elasticity, Handb. d. Physic, Bd. VI/2, No. 3, Springer-Verlag, Heidelberg, 1973
    • (1973) Handb. D. Physic , vol.6 , Issue.3
    • Fichera, G.1
  • 18
    • 0004188206 scopus 로고
    • Springer-Verlag, New York-Heidelberg-Berlin
    • HIRSCH, M. W.: Differential Topology, Springer-Verlag, New York-Heidelberg-Berlin, 1976
    • (1976) Differential Topology
    • Hirsch, M.W.1
  • 21
    • 0039917586 scopus 로고
    • On some properties of singular operators in Normed spaces
    • in Russian
    • KAPANADZE, R. V.: On Some Properties of Singular Operators in Normed Spaces, Trudy Tbilis. Gos. Univ. 129 (1968), 17-26 (in Russian).
    • (1968) Trudy Tbilis. Gos. Univ. , vol.129 , pp. 17-26
    • Kapanadze, R.V.1
  • 23
    • 0039133177 scopus 로고
    • Asymptotics of the solution of the integral equation of the Neumann problem in a plane domain with cusps on the boundary
    • in Russian
    • MAZ'YA, V. G., and SOLOVIEV, A. A.: Asymptotics of the Solution of the Integral Equation of the Neumann Problem in a Plane Domain with Cusps on the Boundary, Soobshch. Akad. Nauk Gruz. SSR 130(1) (1988), 17-20 (in Russian)
    • (1988) Soobshch. Akad. Nauk Gruz. SSR , vol.130 , Issue.1 , pp. 17-20
    • Maz'ya, V.G.1    Soloviev, A.A.2
  • 24
    • 0013477365 scopus 로고
    • On the integral equation of the Dirichlet problem in a plane domain with cusps on the boundary
    • MAZ'YA, V. G., and SOLOVIEV, A. A.: On the Integral Equation of the Dirichlet Problem in a Plane Domain with Cusps on the Boundary, Matem. Sbornik 180, No. 6 (1989), 1211-1233
    • (1989) Matem. Sbornik , vol.180 , Issue.6 , pp. 1211-1233
    • Maz'ya, V.G.1    Soloviev, A.A.2
  • 28
    • 84968481802 scopus 로고
    • Elliptic systems of singular integral operators, I: The half-space
    • SHAMIR, E.: Elliptic Systems of Singular Integral Operators, I: The Half-Space, Trans. Amer. Math. Soc., 127 (1967), 107-124
    • (1967) Trans. Amer. Math. Soc. , vol.127 , pp. 107-124
    • Shamir, E.1
  • 30
    • 0041104474 scopus 로고
    • Boundary value problems for elliptic pseudodifferential operators: The halfspace case
    • SHARGORODSKY, E.: Boundary Value Problems for Elliptic Pseudodifferential Operators: The Halfspace Case, Proc. A. Razmadze Math. Inst. Georgian Acad. Sci. 99 (1993), 44-80
    • (1993) Proc. A. Razmadze Math. Inst. Georgian Acad. Sci. , vol.99 , pp. 44-80
    • Shargorodsky, E.1
  • 31
    • 0040304330 scopus 로고
    • Boundary value problems for elliptic pseudodifferential operators on a manifold
    • SHARGORODSKY, E.: Boundary Value Problems for Elliptic Pseudodifferential Operators on a Manifold, Proc. A. Razmadze Math. Inst. Georgian Acad. Sci. 104 (1993), 108-132
    • (1993) Proc. A. Razmadze Math. Inst. Georgian Acad. Sci. , vol.104 , pp. 108-132
    • Shargorodsky, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.