Regional gradient observability for semilinear hyperbolic systems:HUM approach
Adil KHAZARI
Ali BOUTOULOUT
Imad EL HARRAKI
摘要：The paper aims to extend the notion of regional observability of the gradient to the semilinear hyperbolic case, in order to reconstruct the gradient of the initial conditions in a subregionωof the domain evolutionΩ. We start with an asymptotically linear system, the approach is based on an extension of the Hilbert uniqueness method (HUM) and Schauder's fixed point theorem. The analysis leads to an algorithm which is successfully numerically implemented and illustrated with examples and simulations.
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论文发表日期：2018-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：9( 72-80 )
英文信息