Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

SPECTRAL ANALYSIS OF DISCRETE ELLIPTIC OPERATORS AND APPLICATIONS IN CONTROL THEORY

Abstract : In this paper we propose an analysis of discrete spectral properties for a finite difference discretization of quite general 1D second-order self-adjoint elliptic operators. We particularly investigate some (uniform in the discretization parameter) qualitative behavior of eigenfunctions and eigenvalues. With those estimates we manage to obtain new results for the construction of bounded families of controls for semi-discrete parabolic PDEs, in particular for boundary controls of a coupled parabolic system with fewer controls than equations.
Complete list of metadatas

Cited literature [18 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01422168
Contributor : Franck Boyer <>
Submitted on : Friday, December 23, 2016 - 10:30:05 PM
Last modification on : Thursday, March 5, 2020 - 3:08:03 PM
Document(s) archivé(s) le : Monday, March 20, 2017 - 5:56:03 PM

File

Allonsius_Boyer_Morancey_2016....
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01422168, version 1

Citation

Damien Allonsius, Franck Boyer, Morgan Morancey. SPECTRAL ANALYSIS OF DISCRETE ELLIPTIC OPERATORS AND APPLICATIONS IN CONTROL THEORY. 2016. ⟨hal-01422168v1⟩

Share

Metrics

Record views

590

Files downloads

338