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

• Autorzy: Kazuhiro Kurata , Satoko Sugano
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35J70: Degenerate elliptic equations
• 35P20: Asymptotic distribution of eigenvalues and eigenfunctions
• 35A08: Fundamental solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2000
• Tom: 138
• Numer: 2
• Strony: 101-119

Daty

wydano

2000

otrzymano

1997-12-31

poprawiono

1999-10-13

poprawiono

1999-11-20

Twórcy

autor

Kazuhiro Kurata

• Kazuhiro Kurata, Department of Mathematics, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji-shi, Tokyo, 192-03 Japan

autor

Satoko Sugano

• Satoko Sugano Department of Mathematics Gakushuin University Mejiro 1-5-1, Toshima-ku Tokyo, 171, Japan

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