A partial inverse problem for quantum graphs with a loop
- Shengyu Guan,
- Chuan Fu Yang
Chuan Fu Yang
Nanjing University of Science and Technology
Author ProfileAbstract
We consider the Sturm-Liouville operator on quantum graphs with a loop
with the standard matching conditions in the internal vertex and the
jump conditions at the boundary vertex. Given the potential on the loop,
we try to recover the potential on the boundary edge from the
subspectrum. The uniqueness theorem and a constructive algorithm for the
solution of this partial inverse problem are provided.