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Asymptotic distribution of eigenvalues for elliptic boundary value problems

Article type: Research Article

Authors: Zielinski, Lech

Affiliations: Institut de Mathématiques de Paris‐Jussieu UMR9994, Université Paris 7 (D. Diderot), 2 Place Jussieu, Case Postale 7012, 75252 Paris Cedex 05, France

Abstract: We consider the Weyl formula describing the asymptotic behaviour of the number of eigenvalues N(\lambda) for elliptic boundary value problems. The remainder estimate of the form N(\lambda){\rm O}(\lambda^{-\mu}) is proved with \mu<r/(2m) in the case of operators of order 2m with Hölder coefficients of exponent r\in \,]0; 1].

Journal: Asymptotic Analysis, vol. 16, no. 3-4, pp. 181-201, 1998

Received 15 September 1997
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Published: 1998
Price: EUR 27.50
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