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Asymptotics of Eigenvalues for Hypoelliptic Hamiltonians without Homogeneity Assumptions
Author(s) -
Barbe Jacques
Publication year - 2001
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200104)224:1<17::aid-mana17>3.0.co;2-n
Subject(s) - mathematics , hypoelliptic operator , homogeneity (statistics) , eigenvalues and eigenvectors , mathematical analysis , statistics , partial differential equation , physics , method of characteristics , quantum mechanics
We study here the asymptotic distribution when λ → 0 + of the eigenvalues less than —λ of global operators such as ( x , D ) — b ( x , D ) —1 . We extend classical results for the Schrödinger operator with decaying potential.