TY - JOUR
T1 - Three-region inequalities for the second order elliptic equation with discontinuous coefficients and size estimate
AU - Francini, E.
AU - Lin, C. L.
AU - Vessella, S.
AU - Wang, J. N.
N1 - Funding Information:
EF and SV were partially supported by GNAMPA-INdAM . EF was partially supported by the Research Project FIR 2013 Geometrical and qualitative aspects of PDE's. JW was supported in part by MOST102-2115-M-002-009-MY3.
Publisher Copyright:
© 2016 Elsevier Inc.
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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U2 - 10.1016/j.jde.2016.08.002
DO - 10.1016/j.jde.2016.08.002
M3 - Article
AN - SCOPUS:84992122532
VL - 261
SP - 5306
EP - 5323
JO - Journal of Differential Equations
JF - Journal of Differential Equations
SN - 0022-0396
IS - 10
ER -