@article{bca95e33d6904f32b86c5ee9be65ed61,
title = "Quantitative uniqueness for second order elliptic operators with strongly singular coefficients",
abstract = "In this paper we study the local behavior of a solution to second order elliptic operators with sharp singular coefficients in lower order terms. One of the main results is the bound on the vanishing order of the solution, which is a quantitative estimate of the strong unique continuation property. Our proof relies on Carleman estimates with carefully chosen phases. A key strategy in the proof is to derive doubling inequalities via three-sphere inequalities. Our method can also be applied to certain elliptic systems with similar singular coefficients.",
author = "Lin, {Ching Lung} and Gen Nakamura and Wang, {Jenn Nan}",
note = "Funding Information: We are grateful for the contributions of all the past members of the group. We thank Diane Headen for excellent assistance in the preparation of this manuscript. Portions of the above work have becn funded by the Maria Moors Cabot Foundation of Harvard University and by grants from the National Institute of General Medical Sciences, The National Science Foundation, and the Competitive Research Grants Office of the United States Department of Agricul-lure. Funding Information: This work was supported partially by a grant from the government of Niedersachsen, Federal Republic of Germany, awarded to G. Galling, Institute of Botany, Braunschweig University, Braunschweig, and I. Ohad. We wish to thank Dr. Galling for his advice and encouragement in performing the work on the turnover of the 32-36 kilodalton polypeptide.",
year = "2011",
doi = "10.4171/RMI/644",
language = "English",
volume = "27",
pages = "475--491",
journal = "Revista Matematica Iberoamericana",
issn = "0213-2230",
publisher = "Universidad Autonoma de Madrid",
number = "2",
}