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Volumn 30, Issue 10, 2005, Pages 1445-1462

Lipschitz domains, domains with corners, and the Hodge Laplacian

Author keywords

Convexity; Hodge Laplacian; Lipschitz domains; Manifolds with corners; Regularity

Indexed keywords


EID: 27944471909     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1080/03605300500299547     Document Type: Article
Times cited : (21)

References (15)
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  • 3
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  • 4
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    • Costabel, M.1    Dauge, M.2
  • 5
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    • Friedrichs, K.O.1
  • 6
    • 0002253552 scopus 로고
    • The harmonic operator for exterior differential forms
    • Gaffney, M. (1951). The harmonic operator for exterior differential forms. Proc. Nat. Acad. Sci USA 37:48-50.
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  • 7
    • 0347116066 scopus 로고    scopus 로고
    • Generalized Dirac operators on nonsmooth manifolds and Maxwell's equations
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  • 8
    • 0035590095 scopus 로고    scopus 로고
    • Dirichlet integrals and Gaffney-Friedrichs inequalities in convex domains
    • Mitrea, M. (2001b). Dirichlet integrals and Gaffney-Friedrichs inequalities in convex domains. Forum Math. 13:531-567.
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    • Mitrea, M.1
  • 9
    • 11144332000 scopus 로고    scopus 로고
    • Sharp Hodge decompositions, Maxwell's equations, and vector Poisson problems on non-smooth, three-dimensional Riemannian manifolds
    • Mitrea, M. (2004). Sharp Hodge decompositions, Maxwell's equations, and vector Poisson problems on non-smooth, three-dimensional Riemannian manifolds. Duke Math. J. 125:467-547.
    • (2004) Duke Math. J. , vol.125 , pp. 467-547
    • Mitrea, M.1
  • 10
    • 0033586511 scopus 로고    scopus 로고
    • Boundary layer methods for Lipschitz domains in Riemannian manifolds
    • Mitrea, M., Taylor, M. (1999). Boundary layer methods for Lipschitz domains in Riemannian manifolds. J. Funct. Anal. 163:181-251.
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  • 11
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    • Potential theory on Lipschitz domains in Riemannian manifolds: Sobolev-Besov space results and the Poisson problem
    • Mitrea, M., Taylor, M. (2000). Potential theory on Lipschitz domains in Riemannian manifolds: Sobolev-Besov space results and the Poisson problem. J. Funct. Anal. 176:1-79.
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    • Mitrea, M.1    Taylor, M.2
  • 12
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    • Finite energy solutions of Maxwell's equations and constructive Hodge decompositions on nonsmooth Riemannian manifolds
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  • 13
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    • Poisson problems with half-Dirichlet boundary conditions for Dirac operators on nonsmooth manifolds
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    • Mitrea, D.1    Mitrea, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.