Abstract: |
The lecture suggests a short review of results and methods related to inverse spectral problems for differential operators on spatial networks (graphs). These inverse problems consist in recovering the potentials of differential operators on a graph from the given spectral characteristics. Differential operators on graphs (networks, trees) often appear in mathematics, mechanics, physics, geophysics, physical chemistry, biology, electronics, nanoscale technology and other branches of natural sciences and engineering. We give formulations of inverse problems, present algorithms for their solutions and describe the corresponding methods. |
---|