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

Kurata, Kazuhiro; Sugano, Satoko

Kurata, Kazuhiro ; Sugano, Satoko

Studia Mathematica, Tome 141 (2000), p. 101-119 / Harvested from The Polish Digital Mathematics Library

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Résumé

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.

Publié le : 2000-01-01

Zbl 0956.35058

EUDML-ID : urn:eudml:doc:216693

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     title = {Fundamental solution, eigenvalue asymptotics and eigenfunctions of degenerate elliptic operators with positive potentials},
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     volume = {141},
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     zbl = {0956.35058},
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Kurata, Kazuhiro; Sugano, Satoko. Fundamental solution, eigenvalue asymptotics and eigenfunctions of degenerate elliptic operators with positive potentials. Studia Mathematica, Tome 141 (2000) pp. 101-119. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv138i2p101bwm/

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