Abstract
By a transformation of metric using the first eigenfunction, we obtain lower bounds for all eigenvalues of Schrödinger operator with the Neumann boundary condition. Global estimates for first eigenfunction are needed and this is achieved by the Moser iteration technique.
| Original language | English |
|---|---|
| Pages (from-to) | 225-240 |
| Number of pages | 16 |
| Journal | Pacific Journal of Mathematics |
| Volume | 178 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1997 Apr |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
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Gap estimates of Schrödinger operator. / Chen, Roger.
In: Pacific Journal of Mathematics, Vol. 178, No. 2, 04.1997, p. 225-240.Research output: Contribution to journal › Article
TY - JOUR
T1 - Gap estimates of Schrödinger operator
AU - Chen, Roger
PY - 1997/4
Y1 - 1997/4
N2 - By a transformation of metric using the first eigenfunction, we obtain lower bounds for all eigenvalues of Schrödinger operator with the Neumann boundary condition. Global estimates for first eigenfunction are needed and this is achieved by the Moser iteration technique.
AB - By a transformation of metric using the first eigenfunction, we obtain lower bounds for all eigenvalues of Schrödinger operator with the Neumann boundary condition. Global estimates for first eigenfunction are needed and this is achieved by the Moser iteration technique.
UR - http://www.scopus.com/inward/record.url?scp=0039379552&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0039379552&partnerID=8YFLogxK
U2 - 10.2140/pjm.1997.178.225
DO - 10.2140/pjm.1997.178.225
M3 - Article
AN - SCOPUS:0039379552
VL - 178
SP - 225
EP - 240
JO - Pacific Journal of Mathematics
JF - Pacific Journal of Mathematics
SN - 0030-8730
IS - 2
ER -