Uniqueness and Hölder type stability of continuation for the linear thermoelasticity system with residual stress | Zendy

Nanhee Kim | Zendy

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Uniqueness and Hölder type stability of continuation for the linear thermoelasticity system with residual stress

Author(s) -

Nanhee Kim

Publication year - 2013

Publication title -

evolution equations and control theory

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.665

H-Index - 19

eISSN - 2163-2480

pISSN - 2163-2472

DOI - 10.3934/eect.2013.2.679

Subject(s) - uniqueness , continuation , residual , elasticity (physics) , mathematical analysis , cauchy distribution , mathematics , linear system , stability (learning theory) , linear elasticity , type (biology) , physics , finite element method , geology , thermodynamics , computer science , paleontology , algorithm , machine learning , programming language

By introducing some auxiliary functions, an elasticity system with thermal effects becomes a coupled hyperbolic-parabolic system. Using this reduced system, we obtain a Carleman estimate with two large parameters for the linear thermoelasticity system with residual stress which is the basic tool for showing stability estimates in the lateral Cauchy problem.

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