메뉴 건너뛰기




Volumn 186, Issue 2, 2002, Pages 485-508

Spectral stability of the Neumann Laplacian

Author keywords

Hardy inequalities; H lder continuity; Neumann Laplacian; Sobolev inequalities; Spectral stability

Indexed keywords


EID: 0037059108     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-0396(02)00033-5     Document Type: Article
Times cited : (54)

References (14)
  • 1
    • 0012158314 scopus 로고    scopus 로고
    • Some embeddings of weighted Sobolev spaces on finite measure and quasibounded domains
    • R.C. Brown, Some embeddings of weighted Sobolev spaces on finite measure and quasibounded domains, J. Inequalities Appl. 2 (1998) 325-356.
    • (1998) J. Inequalities Appl. , vol.2 , pp. 325-356
    • Brown, R.C.1
  • 2
    • 0004234584 scopus 로고    scopus 로고
    • Sobolev Spaces on Domains
    • B. G. Teubner, Stuttgart
    • V.I. Burenkov, Sobolev Spaces on Domains, B. G. Teubner, Stuttgart, 1998.
    • (1998)
    • Burenkov, V.I.1
  • 3
    • 0003939017 scopus 로고
    • Heat Kernels and Spectral Theory
    • Cambridge University Press, Cambridge
    • E.B. Davies, Heat Kernels and Spectral Theory, Cambridge University Press, Cambridge, 1989.
    • (1989)
    • Davies, E.B.1
  • 4
    • 0003882735 scopus 로고
    • Spectral Theory and Differential Operators
    • Cambridge University Press, Cambridge
    • E.B. Davies, Spectral Theory and Differential Operators, Cambridge University Press, Cambridge, 1995.
    • (1995)
    • Davies, E.B.1
  • 5
    • 84972372179 scopus 로고
    • Weighted Poincaré inequalities and Minkowski content
    • D.E. Edmunds, R. Hurri, Weighted Poincaré inequalities and Minkowski content, Proc. Roy. Soc. Edinburgh 125 (1995) 817-825.
    • (1995) Proc. Roy. Soc. Edinburgh , vol.125 , pp. 817-825
    • Edmunds, D.E.1    Hurri, R.2
  • 6
    • 84990260781 scopus 로고
    • Embedding theorems for a region with null corner points
    • I.G. Globenko, Embedding theorems for a region with null corner points, Dokl. Akad. Nauk USSR 132 (2) (1960) 251-253.
    • (1960) Dokl. Akad. Nauk USSR , vol.132 , Issue.2 , pp. 251-253
    • Globenko, I.G.1
  • 7
    • 0347121843 scopus 로고    scopus 로고
    • Compactness of the embedding operators for rough domains
    • V. Gol'dshtein, A.G. Ramm, Compactness of the embedding operators for rough domains, Math. Inequalities Appl. 4 (2001) 127-141.
    • (2001) Math. Inequalities Appl. , vol.4 , pp. 127-141
    • Gol'dshtein, V.1    Ramm, A.G.2
  • 8
    • 0000620718 scopus 로고
    • The essential spectrum of Neumann Laplacians on some bounded singular domains
    • R. Hempel, A.L. Seco, B. Simon, The essential spectrum of Neumann Laplacians on some bounded singular domains, J. Functional Anal. 102 (1991) 448-483.
    • (1991) J. Functional Anal. , vol.102 , pp. 448-483
    • Hempel, R.1    Seco, A.L.2    Simon, B.3
  • 9
    • 84966208492 scopus 로고
    • Fractal drum inverse spectral problems for elliptic operators and a partial resolution of the Weyl-Berry conjecture
    • M.L. Lapidus, Fractal drum inverse spectral problems for elliptic operators and a partial resolution of the Weyl-Berry conjecture, Trans. Amer. Math. Soc. 325 (1991) 465-529.
    • (1991) Trans. Amer. Math. Soc. , vol.325 , pp. 465-529
    • Lapidus, M.L.1
  • 10
    • 0002631048 scopus 로고
    • Whitney cubes, p-capacity and Minkowski content
    • O. Martio, M. Vourinen, Whitney cubes, p-capacity and Minkowski content, Exposition Math. 5 (1987) 17-40.
    • (1987) Exposition Math , vol.5 , pp. 17-40
    • Martio, O.1    Vourinen, M.2
  • 11
    • 0001363544 scopus 로고
    • Classes of regions and embedding theorems for function spaces
    • V.G. Maz'ya, Classes of regions and embedding theorems for function spaces, Dokl. Akad. Nauk USSR 133 (3) (1960) 527-530.
    • (1960) Dokl. Akad. Nauk USSR , vol.133 , Issue.3 , pp. 527-530
    • Maz'ya, V.G.1
  • 12
    • 0012151289 scopus 로고
    • On Neumann's problem for domains with irregular boundaries
    • V.G. Maz'ya, On Neumann's problem for domains with irregular boundaries, Siberian Math. J. 9 (1968) 990-1012.
    • (1968) Siberian Math. J. , vol.9 , pp. 990-1012
    • Maz'ya, V.G.1
  • 13
    • 0003796632 scopus 로고
    • Sobolev Spaces
    • Springer, Berlin
    • V.G. Maz'ya, Sobolev Spaces, Springer, Berlin, 1985.
    • (1985)
    • Maz'ya, V.G.1
  • 14
    • 0003799686 scopus 로고
    • Singular Integrals and Differentiability Properties of Functions
    • Princeton University Press, Princeton, NJ
    • E.M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton, NJ, 1970.
    • (1970)
    • Stein, E.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.