Strong unique continuation for an elasticity system with residual stress

Ching Lung Lin

doi:10.1512/iumj.2004.53.2355

Strong unique continuation for an elasticity system with residual stress

Ching Lung Lin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

In this paper we prove the strong unique continuation property for an elasticity system with small residual stress. This system is not isotropie due to the existence of the residual stress. Therefore, it is impossible to reduce the principal part of the system to uncoupled Laplacian operators as we have for the isotropic elasticity system. Also, the coefficients of the system are allowed to have some singularities. The proof of the main theorem is based on Carleman estimates with singular weights.

Original language	English
Pages (from-to)	557-582
Number of pages	26
Journal	Indiana University Mathematics Journal
Volume	53
Issue number	2
DOIs	https://doi.org/10.1512/iumj.2004.53.2355
Publication status	Published - 2004 Jul 12

All Science Journal Classification (ASJC) codes

Mathematics(all)

Access to Document

10.1512/iumj.2004.53.2355

Fingerprint Dive into the research topics of 'Strong unique continuation for an elasticity system with residual stress'. Together they form a unique fingerprint.

Cite this

@article{0d2a0b2ca9e54b28a967ad3d7c8e94aa,

title = "Strong unique continuation for an elasticity system with residual stress",

abstract = "In this paper we prove the strong unique continuation property for an elasticity system with small residual stress. This system is not isotropie due to the existence of the residual stress. Therefore, it is impossible to reduce the principal part of the system to uncoupled Laplacian operators as we have for the isotropic elasticity system. Also, the coefficients of the system are allowed to have some singularities. The proof of the main theorem is based on Carleman estimates with singular weights.",

author = "Lin, {Ching Lung}",

year = "2004",

month = jul,

day = "12",

doi = "10.1512/iumj.2004.53.2355",

language = "English",

volume = "53",

pages = "557--582",

journal = "Indiana University Mathematics Journal",

issn = "0022-2518",

publisher = "Indiana University",

number = "2",

}

TY - JOUR

T1 - Strong unique continuation for an elasticity system with residual stress

AU - Lin, Ching Lung

PY - 2004/7/12

Y1 - 2004/7/12

N2 - In this paper we prove the strong unique continuation property for an elasticity system with small residual stress. This system is not isotropie due to the existence of the residual stress. Therefore, it is impossible to reduce the principal part of the system to uncoupled Laplacian operators as we have for the isotropic elasticity system. Also, the coefficients of the system are allowed to have some singularities. The proof of the main theorem is based on Carleman estimates with singular weights.

AB - In this paper we prove the strong unique continuation property for an elasticity system with small residual stress. This system is not isotropie due to the existence of the residual stress. Therefore, it is impossible to reduce the principal part of the system to uncoupled Laplacian operators as we have for the isotropic elasticity system. Also, the coefficients of the system are allowed to have some singularities. The proof of the main theorem is based on Carleman estimates with singular weights.

UR - http://www.scopus.com/inward/record.url?scp=3042680655&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3042680655&partnerID=8YFLogxK

U2 - 10.1512/iumj.2004.53.2355

DO - 10.1512/iumj.2004.53.2355

M3 - Article

AN - SCOPUS:3042680655

VL - 53

SP - 557

EP - 582

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

SN - 0022-2518

IS - 2

ER -