Uniqueness theorems for Sturm-Liouville operators with interior twin-dense nodal set
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Date
2017-09-20
Authors
Wang, Yu Ping
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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 Ws ([1-ɛ/2, 1/2]), 0 < ɛ ≤ 1, together with parts of either one spectrum, or the minimal nodal subset {x1n}∞n=1 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 Ws ([1-ɛ/2, 1/2]) for any S and arbitrarily small ɛ.
Description
Keywords
Uniqueness theorem, Inverse nodal problem, Potential, Sturm-Liouville operator, The interior twin-dense nodal subset
Citation
Wang, Y. P. (2017). Uniqueness theorems for Sturm-Liouville operators with interior twin-dense nodal set. <i>Electronic Journal of Differential Equations, 2017</i>(226), pp. 1-11.
Rights
Attribution 4.0 International