A Carleman estimate for the linear shallow shell equation and an inverse source problem | Zendy

Shumin Li | Zendy; Bernadette Miara | Zendy; Masahiro Yamamoto | Zendy

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A Carleman estimate for the linear shallow shell equation and an inverse source problem

Author(s) -

Shumin Li,

Bernadette Miara,

Masahiro Yamamoto

Publication year - 2008

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2009.23.367

Subject(s) - inverse , mathematical analysis , neighbourhood (mathematics) , shell (structure) , displacement (psychology) , inverse problem , boundary value problem , stability (learning theory) , boundary (topology) , mathematics , interval (graph theory) , linear elasticity , physics , geometry , finite element method , computer science , combinatorics , materials science , psychology , machine learning , composite material , psychotherapist , thermodynamics

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

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