|
|||||
|
|
|
|
|
|
|
|
|
Asymptotic behavior
of eigenvalues for a class of pseudodifferential operators on
Rn
Junichi Aramaki |
|
Vol. 156 (1992), No. 1, 19–44
|
Abstract |
|
We consider a pseudodifferential operator P whose symbol has an asymptotic expansion by quasi homogeneous symbols and the principal symbol is degenerate on a submanifold. Under appropriate conditions, P has the discrete spectrum. Then we can get the asymptotic behavior of the counting function of eigenvalues of P with remainder estimate according to various cases. |
Mathematical Subject Classification 2000
Primary: 35P20
Secondary: 35S05, 47G30, 58G15
|
Milestones
Received: 22 April 1991
Published: 1 November 1992
|
Authors |
| Junichi Aramaki | |
|
