✦ LIBER ✦

On a non-linear geometrical inverse problem of Signorini type: identifiability and stability

✍ Scribed by Amel Ben Abda; Slim Chaabane; Fadi El Dabaghi; Mohamed Jaoua

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 205 KB
Volume: 21
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(199810)21:15<1379::aid-mma999>3.0.co;2-f

No coin nor oath required. For personal study only.

✦ Synopsis

Communicated by J. C. Nedelec

This paper deals with a non-linear inverse problem of identification of unknown boundaries, on which the prescribed conditions are of Signorini type. We first prove an identifiability result, in both frameworks of thermal and elastic testing. Local Lipschitz stability of the solutions with respect to the boundary measurements is also established, in case of unknown boundaries which are parts of C@ Jordan curves, with '0.

📜 SIMILAR VOLUMES

Derivation of Non-linear Reynolds-type P

Derivation of Non-linear Reynolds-type Problem for Lubrication of a Rotating Shaft

✍ A. Duvnjak 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 183 KB

On Global Existence, Asymptotic Stabilit

On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation

✍ Kosuke Ono 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 335 KB 👁 2 views

We study on the initial-boundary value problem for some degenerate non-linear wave equations of Kirchhoff type with a strong dissipation: When the initial energy associated with the equations is non-negative and small, a unique (weak) solution exists globally in time and has some decay properties.