### 摘要

In this paper we study the local behavior of a solution to the Lamé system when the Lamé coefficients λ and μ satisfy that μ is Lipschitz and λ is essentially bounded in dimension n ≥ 2. One of the main results is the local doubling inequality for the solution of the Lamé system. This is a quantitative estimate of the strong unique continuation property. Our proof relies on Carleman estimates with carefully chosen weights. Furthermore, we also prove the global doubling inequality, which is useful in some inverse problems.

原文 | English |
---|---|

頁（從 - 到） | 5309-5318 |

頁數 | 10 |

期刊 | Proceedings of the American Mathematical Society |

卷 | 144 |

發行號 | 12 |

DOIs | |

出版狀態 | Published - 2016 一月 1 |

### 指紋

### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics

### 引用此文

*Proceedings of the American Mathematical Society*,

*144*(12), 5309-5318. https://doi.org/10.1090/proc/13175

}

*Proceedings of the American Mathematical Society*, 卷 144, 編號 12, 頁 5309-5318. https://doi.org/10.1090/proc/13175

**Doubling inequalities for the lamé system with rough coefficients.** / Koch, Herbert; Lin, Ching Lung; Wang, Jenn Nan.

研究成果: Article

TY - JOUR

T1 - Doubling inequalities for the lamé system with rough coefficients

AU - Koch, Herbert

AU - Lin, Ching Lung

AU - Wang, Jenn Nan

PY - 2016/1/1

Y1 - 2016/1/1

N2 - In this paper we study the local behavior of a solution to the Lamé system when the Lamé coefficients λ and μ satisfy that μ is Lipschitz and λ is essentially bounded in dimension n ≥ 2. One of the main results is the local doubling inequality for the solution of the Lamé system. This is a quantitative estimate of the strong unique continuation property. Our proof relies on Carleman estimates with carefully chosen weights. Furthermore, we also prove the global doubling inequality, which is useful in some inverse problems.

AB - In this paper we study the local behavior of a solution to the Lamé system when the Lamé coefficients λ and μ satisfy that μ is Lipschitz and λ is essentially bounded in dimension n ≥ 2. One of the main results is the local doubling inequality for the solution of the Lamé system. This is a quantitative estimate of the strong unique continuation property. Our proof relies on Carleman estimates with carefully chosen weights. Furthermore, we also prove the global doubling inequality, which is useful in some inverse problems.

UR - http://www.scopus.com/inward/record.url?scp=84992393681&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84992393681&partnerID=8YFLogxK

U2 - 10.1090/proc/13175

DO - 10.1090/proc/13175

M3 - Article

AN - SCOPUS:84992393681

VL - 144

SP - 5309

EP - 5318

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 12

ER -