A Carleman estimate for the linear shallow shell equation and inverse problems

Impact Factor:1.1

DOI number:10.3934/dcds.2009.23.367

Journal:Discrete and Continuous Dynamical Systems

Key Words:shallow shell; Carleman estimate; inverse source problem; conditional stability

Abstract:We consider an elastic bi-dimensional body whose reference configuration is a shallow shell. We establish a Carleman estimate for the linear shallow shell equations and apply it to prove a conditional stability for an inverse problem of determining external source terms by observations of displacement in a neighbourhood of the boundary over a time interval.

Co-author:Shumin Li,Bernadette Miara,Masahiro Yamamoto

Indexed by:Journal paper

Document Code:000260923300020

Discipline:Natural Science

Document Type:J

Volume:23

Issue:1&2

Page Number:367-380

ISSN No.:1078-0947

Translation or Not:no

Date of Publication:2009-01-01

Included Journals:SCI、EI

Links to published journals:https://doi.org/10.3934/dcds.2009.23.367