Inverse nodal problems on quantum tree graphs-Reference-Cited by-同舟云学术

Inverse nodal problems on quantum tree graphs

Published:2021-12-16 Issue: Volume: Page:1-14
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Yang Chuan-Fu,Liu Dai-Quan

Abstract

We consider inverse nodal problems for the Sturm–Liouville operators on the tree graphs. Can only dense nodes distinguish the tree graphs? In this paper it is shown that the data of dense-nodes uniquely determines the potential (up to a constant) on the tree graphs. This provides interesting results for an open question implied in the paper.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference25 articles.

1. Inverse problems: Dense nodal subset on an interior subinterval

2. Inverse nodal problem for differential pencils

3. Can one hear the shape of a graph?

4. Inverse nodal problems for Sturm–Liouville operators on star-type graphs

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