Geodesic
Semiclassical distribution of eigenvalues for elliptic operators with Hölder continuous coefficients, part i: non-critical case
Lech Zieliński1
1 LMPA, Centre Universitaire de la Mi-Voix Université du Littoral 50, rue F. Buisson, B.P. 699 62228 Calais Cedex, France
Colloquium Mathematicum, Tome 99 (2004) no. 2, pp. 157-174 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We consider a version of the Weyl formula describing the asymptotic behaviour of the counting function of eigenvalues in the semiclassical approximation for self-adjoint elliptic differential operators under weak regularity hypotheses. Our aim is to treat Hölder continuous coefficients and to investigate the case of critical energy values as well.
DOI : 10.4064/cm99-2-2
Keywords: consider version weyl formula describing asymptotic behaviour counting function eigenvalues semiclassical approximation self adjoint elliptic differential operators under weak regularity hypotheses treat lder continuous coefficients investigate critical energy values

Lech Zieliński 1

1 LMPA, Centre Universitaire de la Mi-Voix Université du Littoral 50, rue F. Buisson, B.P. 699 62228 Calais Cedex, France 
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     title = {Semiclassical distribution of eigenvalues for
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 part i: non-critical case
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 part i: non-critical case
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Lech Zieliński. Semiclassical distribution of eigenvalues for
 elliptic operators with
 Hölder continuous coefficients,
 part i: non-critical case. Colloquium Mathematicum, Tome 99 (2004) no. 2, pp. 157-174. doi: 10.4064/cm99-2-2

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