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ArticleOriginal scientific text

Title

Fundamental solution, eigenvalue asymptotics and eigenfunctions of degenerate elliptic operators with positive potentials

Authors 1, 2

Affiliations

  1. Kazuhiro Kurata, Department of Mathematics, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji-shi, Tokyo, 192-03 Japan
  2. Satoko Sugano Department of Mathematics Gakushuin University Mejiro 1-5-1, Toshima-ku Tokyo, 171, Japan

Abstract

We show a weighted version of Fefferman-Phong's inequality and apply it to give an estimate of fundamental solutions, eigenvalue asymptotics and exponential decay of eigenfunctions for certain degenerate elliptic operators of second order with positive potentials.

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Studia Mathematica
2000/138/2
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Pages:
101-119
Main language of publication
English
Received
1997-12-31
Accepted
1999-10-13
Published
2000
Exact and natural sciences