English

Moving and oblique observations of beams and plates

Classical Analysis and ODEs 2019-03-20 v1 Analysis of PDEs Functional Analysis Optimization and Control

Abstract

We study the observability of the one-dimensional Schr{\"o}dinger equation and of the beam and plate equations by moving or oblique observations. Applying different versions and adaptations of Ingham's theorem on nonharmonic Fourier series, we obtain various observability and non-observability theorems. Several open problems are also formulated at the end of the paper.

Keywords

Cite

@article{arxiv.1903.07804,
  title  = {Moving and oblique observations of beams and plates},
  author = {Philippe Jaming and Vilmos Komornik},
  journal= {arXiv preprint arXiv:1903.07804},
  year   = {2019}
}