Three-region inequalities for the second order elliptic equation with discontinuous coefficients and size estimate

E. Francini; C. L. Lin; S. Vessella; J. N. Wang

doi:10.1016/j.jde.2016.08.002

Three-region inequalities for the second order elliptic equation with discontinuous coefficients and size estimate

E. Francini
, C. L. Lin
, S. Vessella
, J. N. Wang

Department of Mathematics

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

11 Citations (Scopus)

Abstract

In this paper, we would like to derive a quantitative uniqueness estimate, the three-region inequality, for the second order elliptic equation with jump discontinuous coefficients. The derivation of the inequality relies on the Carleman estimate proved in our previous work [5]. We then apply the three-region inequality to study the size estimate problem with one boundary measurement.

Original language	English
Pages (from-to)	5306-5323
Number of pages	18
Journal	Journal of Differential Equations
Volume	261
Issue number	10
DOIs	https://doi.org/10.1016/j.jde.2016.08.002
Publication status	Published - 2016 Nov 15

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/j.jde.2016.08.002

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title = "Three-region inequalities for the second order elliptic equation with discontinuous coefficients and size estimate",

abstract = "In this paper, we would like to derive a quantitative uniqueness estimate, the three-region inequality, for the second order elliptic equation with jump discontinuous coefficients. The derivation of the inequality relies on the Carleman estimate proved in our previous work [5]. We then apply the three-region inequality to study the size estimate problem with one boundary measurement.",

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AU - Francini, E.

AU - Lin, C. L.

AU - Vessella, S.

AU - Wang, J. N.

PY - 2016/11/15

Y1 - 2016/11/15

N2 - In this paper, we would like to derive a quantitative uniqueness estimate, the three-region inequality, for the second order elliptic equation with jump discontinuous coefficients. The derivation of the inequality relies on the Carleman estimate proved in our previous work [5]. We then apply the three-region inequality to study the size estimate problem with one boundary measurement.

AB - In this paper, we would like to derive a quantitative uniqueness estimate, the three-region inequality, for the second order elliptic equation with jump discontinuous coefficients. The derivation of the inequality relies on the Carleman estimate proved in our previous work [5]. We then apply the three-region inequality to study the size estimate problem with one boundary measurement.

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UR - https://www.scopus.com/pages/publications/84992122532#tab=citedBy

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DO - 10.1016/j.jde.2016.08.002

M3 - Article

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VL - 261

SP - 5306

EP - 5323

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 10

ER -

Three-region inequalities for the second order elliptic equation with discontinuous coefficients and size estimate

Abstract

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