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Volumn 125, Issue 5, 2003, Pages 1079-1115

Boundary value problems in morrey spaces for elliptic systems on lipschitz domains

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EID: 0141652970     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: 10.1353/ajm.2003.0035     Document Type: Article
Times cited : (49)

References (36)
  • 1
    • 84983553250 scopus 로고    scopus 로고
    • Continuity of Calderón-Zygmund type operators on the predual of a Morrey space
    • CRC, Boca Raton, FL
    • J. Alvarez, Continuity of Calderón-Zygmund type operators on the predual of a Morrey space, Clifford Algebras in Analysis and Related Topics, Stud. Adv. Math., CRC, Boca Raton, FL, 1996, pp. 309-319.
    • (1996) Clifford Algebras in Analysis and Related Topics, Stud. Adv. Math. , pp. 309-319
    • Alvarez, J.1
  • 2
    • 0040087923 scopus 로고
    • Estimates for the Stokes operator in Lipschitz domains
    • R. Brown and Z. Shen, Estimates for the Stokes operator in Lipschitz domains, Indiana Univ. Math. J. 44 (1995), 1183-1206.
    • (1995) Indiana Univ. Math. J. , vol.44 , pp. 1183-1206
    • Brown, R.1    Shen, Z.2
  • 3
    • 0013419258 scopus 로고    scopus 로고
    • On the dimension of the attractor for the non-homogeneous Navier-Stokes equations in non-smooth domains
    • R. Brown, P. Perry, and Z. Shen, On the dimension of the attractor for the non-homogeneous Navier-Stokes equations in non-smooth domains, Indiana Univ. Math. J. 49 (2000), 81-112.
    • (2000) Indiana Univ. Math. J. , vol.49 , pp. 81-112
    • Brown, R.1    Perry, P.2    Shen, Z.3
  • 5
    • 84966261604 scopus 로고
    • Extensions of Hardy spaces and their use in analysis
    • R. Coifman and G. Weiss, Extensions of Hardy spaces and their use in analysis, Bull. Amer. Math. Soc. 83 (1977), 569-646.
    • (1977) Bull. Amer. Math. Soc. , vol.83 , pp. 569-646
    • Coifman, R.1    Weiss, G.2
  • 6
    • 0017727486 scopus 로고
    • On estimates for harmonic measure
    • B. Dahlberg, On estimates for harmonic measure, Arch. Rat. Mech. Anal. 65 (1977), 273-288.
    • (1977) Arch. Rat. Mech. Anal. , vol.65 , pp. 273-288
    • Dahlberg, B.1
  • 7
    • 0000671972 scopus 로고
    • 1 domains
    • 1 domains, Studia Math. 66 (1979), 13-24.
    • (1979) Studia Math. , vol.66 , pp. 13-24
  • 8
    • 0000225785 scopus 로고
    • p for Laplace's equation in Lipschitz domains
    • p for Laplace's equation in Lipschitz domains, Ann. of Math. 125 (1987), 437-466.
    • (1987) Ann. of Math. , vol.125 , pp. 437-466
    • Dahlberg, B.1    Kenig, C.2
  • 9
    • 0000896312 scopus 로고
    • p estimates for the three-dimensional systems of elastostatics on Lipschitz domains
    • Dekker, NY
    • p estimates for the three-dimensional systems of elastostatics on Lipschitz domains, Lecture Notes in Pure and Appl. Math., vol. 122, Dekker, NY, 1990, pp. 621-634.
    • (1990) Lecture Notes in Pure and Appl. Math. , vol.122 , pp. 621-634
  • 10
    • 0031329387 scopus 로고    scopus 로고
    • Area integral estimates for higher order elliptic equations and systems
    • B. Dahlberg, C. Kenig, J. Pipher, and G. Verchota, Area integral estimates for higher order elliptic equations and systems, Ann. Inst. Fourier (Grenoble) 47 (1997), 1425-1461.
    • (1997) Ann. Inst. Fourier (Grenoble) , vol.47 , pp. 1425-1461
    • Dahlberg, B.1    Kenig, C.2    Pipher, J.3    Verchota, G.4
  • 11
    • 0010705591 scopus 로고
    • The Dirichlet problem for the biharmonic equation in a Lipschitz domain
    • B. Dahlberg, C. Kenig, and G. Verchota, The Dirichlet problem for the biharmonic equation in a Lipschitz domain, Ann. Inst. Fourier (Grenoble) 36 (1986), 109-135.
    • (1986) Ann. Inst. Fourier (Grenoble) , vol.36 , pp. 109-135
    • Dahlberg, B.1    Kenig, C.2    Verchota, G.3
  • 12
    • 84972551990 scopus 로고
    • Boundary value problems for the systems of elastostatics in Lipschitz domains
    • _, Boundary value problems for the systems of elastostatics in Lipschitz domains, Duke Math. J. 57 (1988), 795-818.
    • (1988) Duke Math. J. , vol.57 , pp. 795-818
  • 13
    • 84880438084 scopus 로고
    • On a regularity method for weak solutions to transmission problems with internal Lipschitz boundary
    • L. Escauriaza, E. Fabes, and G. Verchota, On a regularity method for weak solutions to transmission problems with internal Lipschitz boundary, Proc. Amer. Math. Soc. 115 (1992), 1069-1076.
    • (1992) Proc. Amer. Math. Soc. , vol.115 , pp. 1069-1076
    • Escauriaza, L.1    Fabes, E.2    Verchota, G.3
  • 14
    • 0001926062 scopus 로고
    • Layer potential methods for boundary value problems on Lipschitz domains
    • Springer-Verlag, NY
    • E. Fabes, Layer potential methods for boundary value problems on Lipschitz domains, Lecture Notes in Math., vol. 1344, 1988, Springer-Verlag, NY, pp. 55-80.
    • (1988) Lecture Notes in Math. , vol.1344 , pp. 55-80
    • Fabes, E.1
  • 15
    • 84865687708 scopus 로고
    • Boundary value problems for the Stokes system on Lipschitz domains
    • E. Fabes, C. Kenig, and G. Verchota, Boundary value problems for the Stokes system on Lipschitz domains, Duke Math. J. 57 (1988), 769-793.
    • (1988) Duke Math. J. , vol.57 , pp. 769-793
    • Fabes, E.1    Kenig, C.2    Verchota, G.3
  • 16
    • 84968500878 scopus 로고
    • p integrability of Green's functions and fundamental solutions for elliptic and parabolic equations
    • p integrability of Green's functions and fundamental solutions for elliptic and parabolic equations, Duke Math. J. 51 (1984), 977-1016.
    • (1984) Duke Math. J. , vol.51 , pp. 977-1016
    • Fabes, E.1    Stroock, D.2
  • 17
    • 33745325637 scopus 로고
    • p spaces of several variables
    • p spaces of several variables, Acta Math. 129 (1972), 137-193.
    • (1972) Acta Math. , vol.129 , pp. 137-193
    • Fefferman, C.1    Stein, E.2
  • 18
    • 0141632498 scopus 로고
    • Boundary value problems on Lipschitz domains for general elliptic systems
    • W. Gao, Boundary value problems on Lipschitz domains for general elliptic systems, J. Funct. Anal. (1991), 377-399.
    • (1991) J. Funct. Anal. , pp. 377-399
    • Gao, W.1
  • 20
    • 84966201593 scopus 로고
    • The Neumann problem in Lipschitz domains
    • D. Jerison and C. Kenig, The Neumann problem in Lipschitz domains, Bull. Amer. Math. Soc. 4 (1981), 203-207.
    • (1981) Bull. Amer. Math. Soc. , vol.4 , pp. 203-207
    • Jerison, D.1    Kenig, C.2
  • 21
    • 0000324134 scopus 로고
    • Elliptic boundary value problems on Lipschitz domains
    • Princeton Univ. Press
    • C. Kenig, Elliptic boundary value problems on Lipschitz domains, Beijing Lectures in Harmonic Analysis, Ann. of Math. Stud., vol. 112, 1986, Princeton Univ. Press, pp. 131-183.
    • (1986) Beijing Lectures in Harmonic Analysis, Ann. of Math. Stud. , vol.112 , pp. 131-183
    • Kenig, C.1
  • 23
    • 0035285749 scopus 로고    scopus 로고
    • Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds
    • D. Mitrea, M. Mitrea, and M. Taylor, Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds, Mem. Amer. Math. Soc. 150 (2001).
    • (2001) Mem. Amer. Math. Soc. , vol.150
    • Mitrea, D.1    Mitrea, M.2    Taylor, M.3
  • 24
    • 84973999445 scopus 로고
    • The method of layer potentials in electro-magnetic scattering theory on non-smooth domains
    • M. Mitrea, The method of layer potentials in electro-magnetic scattering theory on non-smooth domains, Duke Math. J. 77 (1995), 111-133.
    • (1995) Duke Math. J. , vol.77 , pp. 111-133
    • Mitrea, M.1
  • 27
    • 0013326902 scopus 로고
    • p for the biharmonic equation on Lipschitz domains
    • p for the biharmonic equation on Lipschitz domains, Amer. J. Math. 114 (1992), 923-972.
    • (1992) Amer. J. Math. , vol.114 , pp. 923-972
    • Pipher, J.1    Verchota, G.2
  • 28
    • 51249163195 scopus 로고
    • 1 domains
    • 1 domains, Comment. Math. Helv. 68 (1993), 385-414.
    • (1993) Comment. Math. Helv. , vol.68 , pp. 385-414
  • 29
    • 0002693554 scopus 로고
    • Dilation invariant estimates and the boundary Garding inequality for higher order elliptic operators
    • _, Dilation invariant estimates and the boundary Garding inequality for higher order elliptic operators, Ann. of Math. 142 (1995), 1-38.
    • (1995) Ann. of Math. , vol.142 , pp. 1-38
  • 30
    • 0001555468 scopus 로고
    • A note on the Dirichlet problem for the Stokes system in Lipschitz domains
    • Z. Shen, A note on the Dirichlet problem for the Stokes system in Lipschitz domains, Proc. Amer. Math. Soc. 123 (1995), 801-811.
    • (1995) Proc. Amer. Math. Soc. , vol.123 , pp. 801-811
    • Shen, Z.1
  • 31
    • 0038903495 scopus 로고
    • p for elliptic systems in Lipschitz domains
    • p for elliptic systems in Lipschitz domains, J. Funct. Anal. 133 (1995), 224-251.
    • (1995) J. Funct. Anal. , vol.133 , pp. 224-251
  • 32
    • 48549113823 scopus 로고
    • Layer potentials and regularity for the Dirichlet problem for Laplace's equation
    • G. Verchota, Layer potentials and regularity for the Dirichlet problem for Laplace's equation, J. Funct. Anal. 59 (1984), 572-611.
    • (1984) J. Funct. Anal. , vol.59 , pp. 572-611
    • Verchota, G.1
  • 33
    • 0001698148 scopus 로고
    • Remarks on second order elliptic systems in Lipschitz domains
    • Austral. Nat. Univ., Canberra
    • _, Remarks on second order elliptic systems in Lipschitz domains, Proc. Centre Math. Anal. Austral. Nat. Univ., vol. 14, Austral. Nat. Univ., Canberra, 1986, pp. 303-325.
    • (1986) Proc. Centre Math. Anal. Austral. Nat. Univ. , vol.14 , pp. 303-325
  • 34
    • 0010664779 scopus 로고
    • The Dirichlet problem for the polyharmonic equation in Lipschitz domains
    • _, The Dirichlet problem for the polyharmonic equation in Lipschitz domains, Indiana Univ. Math. J. 39 (1990), 671-702.
    • (1990) Indiana Univ. Math. J. , vol.39 , pp. 671-702
  • 35
    • 45449125628 scopus 로고
    • Spectral theory and complex interpolation
    • T. Vignati and M. Vignati, Spectral theory and complex interpolation, J. Funct. Anal. 80 (1988), 383-397.
    • (1988) J. Funct. Anal. , vol.80 , pp. 383-397
    • Vignati, T.1    Vignati, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.