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Insensitizing Controls for the 1‐D Wave Equation

✍ Scribed by Dáger, René


Book ID
118205648
Publisher
Society for Industrial and Applied Mathematics
Year
2006
Tongue
English
Weight
155 KB
Volume
45
Category
Article
ISSN
0363-0129

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Insensitizing controls for a semilinear
✍ Olivier Bodart; Manuel González-Burgos; Rosario Pérez-García 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 73 KB

This Note is concerned with the existence of insensitizing controls for a semilinear heat equation when we consider nonlinearities that behave superlinearly at infinity. We prove the existence of a control insensitizing the L 2 -norm of the observation of the solution in an open subset O of the cons

Insensitizing controls for a heat equati
✍ O. Bodart; M. González-Burgos; R. Pérez-Garcı́a 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 366 KB

In this paper we present two results on the existence of insensitizing controls for a heat equation in a bounded domain of R N . We ÿrst consider a semilinear heat equation involving gradient terms with homogeneous Dirichlet boundary conditions. Then a heat equation with a nonlinear term F(y) and li