Submitted:
01 December 2018
Posted:
04 December 2018
You are already at the latest version
Abstract
The paper is devoted to the investigation of regional observability with constraints on the state of semilinear parabolic systems. The purpose is to reconstruct the initial state between two prescribed functions only on an internal subregion $\omega$ of the system evolution domain $\Omega$. The proofs use two approaches, the subdifferential and HUM approach. Finally, a numerical example is provided to verify the effectiveness of our theory results.
Keywords:
semilinear systems
; parabolic systems
; enlarged observability
; regional reconstruction
; subdifferential method
; HUM approach
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
