Unique determination of a cavity in an elastic plate by two boundary measurements

Antonino Morassi; Edi Rosset; Sergio Vessella

doi:10.3934/ipi.2007.1.481

Article Contents

2007, Volume 1, Issue 3: 481-506. Doi: 10.3934/ipi.2007.1.481

This issue Previous Article A new exact inversion method for exponential Radon transform using the harmonic analysis of the Euclidean motion group Next Article Kaczmarz methods for regularizing nonlinear ill-posed equations II: Applications

Unique determination of a cavity in an elastic plate by two boundary measurements

1.
Dipartimento di Ingegneria Civile e Architettura, Università degli Studi di Udine, via Cotonificio 114, 33100 Udine
2.
Dipartimento di Matematica e Informatica, Università degli Studi di Trieste, via Valerio 12/1, 34100 Trieste
3.
DIMAD, Università degli Studi di Firenze, via Lombroso 6/17, 50134 Firenze

Received: November 2006

Published: August 2007

Abstract / Introduction Related Papers Cited by

Abstract

We consider a thin elastic plate subjected to a couple field applied at its boundary and we study the inverse problem consisting in determining an unknown cavity inside the plate by measuring the transversal displacement and its normal derivative at the boundary of the plate. We prove uniqueness with two measurements.

Keywords:

Mathematics Subject Classification: Primary: 35R30, 35R25; Secondary: 74K20.

Citation:

Article Metrics

HTML views() PDF downloads(91) Cited by(0)

Unique determination of a cavity in an elastic plate by two boundary measurements

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Unique determination of a cavity in an elastic plate by two boundary measurements

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content