Yu Ping Wang
Abstract:
We study Inverse problems for the Sturm-Liouville operator with Robin boundary
conditions. We establish two uniqueness theorems from the twin-dense nodal
subset
,
,
together with parts of either one spectrum, or the
minimal nodal subset
on the interval [0,1/2].
In particular, if one spectrum is given a priori, then the potential q on
the whole interval [0,1] can be uniquely determined by
for any S and arbitrarily small
.
Submitted September 19, 2016. Published September 20, 2017.
Math Subject Classifications: 34A55, 34B24, 47E05.
Key Words: Uniqueness theorem; inverse nodal problem; potential;
Sturm-Liouville operator; the interior twin-dense nodal subset.
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Yu Ping Wang Department of Applied Mathematics Nanjing Forestry University Nanjing, Jiangsu 210037, China email: ypwang@njfu.com.cn |
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