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

Volume 138 / 2000

Kazuhiro Kurata, Studia Mathematica 138 (2000), 101-119 DOI: 10.4064/sm-138-2-101-119

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.

Authors

  • Kazuhiro Kurata

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