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Lower bounds of Dirichlet eigenvalues for degenerate elliptic operators and degenerate Schrödinger operators
| Content Provider | Semantic Scholar |
|---|---|
| Author | Chen, Hua Luo, Peng Tian, Shuying |
| Copyright Year | 2013 |
| Abstract | Let X = (X1, X2, · · · , Xm) be a system of real smooth vector fields defined in an open domain Ω ⊂ R, Ω ⊂⊂ Ω be a bounded open subset in R with smooth boundary ∂Ω, △X = ∑m j=1 X 2 j . In this paper, if λj is the j th Dirichlet eigenvalue for the degenerate elliptic operator −△X (or the degenerate Schrodinger operator −△X + V ) on Ω, we deduce respectively that the lower estimates for the sums ∑k j=1 λj in both cases for the operator −△X to be finitely degenerate (i.e. the Hormander condition is satisfied) or infinitely degenerate (i.e. the Hormander condition is not satisfied). |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.mis.mpg.de/preprints/2013/preprint2013_87.pdf |
| Alternate Webpage(s) | https://www.mis.mpg.de/preprints/2013/preprint2013_87.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
