메뉴 건너뛰기




Volumn 66, Issue 1-2, 1997, Pages 189-203

A compactness result for vector fields with divergence and curl in L q (ω) involving mixed boundary conditions

Author keywords

Compact imbeddings; Mixed boundary bconditions; Weakly differentiable functions

Indexed keywords


EID: 0000278438     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036819708840581     Document Type: Article
Times cited : (59)

References (14)
  • 2
    • 0042436869 scopus 로고
    • Existence and completeness of the wave operators for dissipative hyperbolic systems of constant multiplicity
    • Georgiev, V.S., 1985. Existence and completeness of the wave operators for dissipative hyperbolic systems of constant multiplicity. J. Operator Theory, 14: 291–310.
    • (1985) J. Operator Theory , vol.14 , pp. 291-310
    • Georgiev, V.S.1
  • 3
    • 84988154531 scopus 로고
    • Asymptotic completeness in optical scattering
    • Jochmann, F., 1991. Asymptotic completeness in optical scattering. Math. Methods. Appl. Sci, 14: 333–354.
    • (1991) Math. Methods. Appl. Sci , vol.14 , pp. 333-354
    • Jochmann, F.1
  • 4
    • 0042937512 scopus 로고
    • Asymptotic completeness of the wave operators for first order systemwith nonsmooth coefficients
    • Jochmann, F., 1995. Asymptotic completeness of the wave operators for first order systemwith nonsmooth coefficients. J. Math. Anal. Appl, 196: 196–220.
    • (1995) J. Math. Anal. Appl , vol.196 , pp. 196-220
    • Jochmann, F.1
  • 5
    • 0030589798 scopus 로고    scopus 로고
    • Existence of weak solutions to the drift diffusion model for semiconductors coupled with Maxwell' equations
    • Jochmann, F., 1996. Existence of weak solutions to the drift diffusion model for semiconductors coupled with Maxwell' equations. J. Math. Anal. Appl, 204: 655–676.
    • (1996) J. Math. Anal. Appl , vol.204 , pp. 655-676
    • Jochmann, F.1
  • 6
    • 34250298536 scopus 로고
    • Zur Existenz des Wellenoperators bei Anfangsrand wert problemen vom Maxwell
    • Picard, R., 1977. Zur Existenz des Wellenoperators bei Anfangsrand wert problemen vom Maxwell. Typ, Math. Z, 156: 175–185.
    • (1977) Typ, Math. Z , vol.156 , pp. 175-185
    • Picard, R.1
  • 7
    • 0001387055 scopus 로고
    • An elementary proof for a compact imbedding result in generalized electromagnetic theory
    • Picard, R., 1984. An elementary proof for a compact imbedding result in generalized electromagnetic theory. Math. Z, 187: 151–161.
    • (1984) Math. Z , vol.187 , pp. 151-161
    • Picard, R.1
  • 8
    • 0008872880 scopus 로고
    • The scattering of classical waves from inhomogeneous media
    • Reed, M., and Simon, B., 1977. The scattering of classical waves from inhomogeneous media. Math. Z, 155: 163–180.
    • (1977) Math. Z , vol.155 , pp. 163-180
    • Reed, M.1    Simon, B.2
  • 9
    • 0041434461 scopus 로고
    • Completeness of the wave operators for perturbations of uniformly propagative system
    • Schulenberger, J., and Wilcox, C., 1971. Completeness of the wave operators for perturbations of uniformly propagative system. J. Funct. Anal, 7: 447–472.
    • (1971) J. Funct. Anal , vol.7 , pp. 447-472
    • Schulenberger, J.1    Wilcox, C.2
  • 10
    • 84988168713 scopus 로고
    • Estimating∇u by div u and curl u
    • Wahl, W., 1992. Estimating∇u by div u and curl u. Math. Methods Appl. Sci, 15: 123–143.
    • (1992) Math. Methods Appl. Sci , vol.15 , pp. 123-143
    • Wahl, W.1
  • 11
    • 84979103896 scopus 로고
    • A local compactness theorem for Maxwell' equations
    • Weber, C., 1980. A local compactness theorem for Maxwell' equations. Math. Methods Appl. Sci, 2: 12–25.
    • (1980) Math. Methods Appl. Sci , vol.2 , pp. 12-25
    • Weber, C.1
  • 12
    • 0016057704 scopus 로고
    • Maxwell' boundary value problem on Riemannian manifolds with nonsmooth boundaires
    • Weck, N., 1974. Maxwell' boundary value problem on Riemannian manifolds with nonsmooth boundaires. J. Math. Anal and Appl, 46: 410–437.
    • (1974) J. Math. Anal and Appl , vol.46 , pp. 410-437
    • Weck, N.1
  • 13
    • 84988163617 scopus 로고
    • A remark on a compactness result in electromagnetic theory
    • Witsch, K., 1993. A remark on a compactness result in electromagnetic theory. Math. Methods. Appl. Sci, 16: 123–129.
    • (1993) Math. Methods. Appl. Sci , vol.16 , pp. 123-129
    • Witsch, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.