Quantitative continuation from a measurable set of solutions of elliptic equations

Authors
Citation
S. Vessella, Quantitative continuation from a measurable set of solutions of elliptic equations, P RS EDIN A, 130, 2000, pp. 909-923
Citations number
17
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
ISSN journal
03082105 → ACNP
Volume
130
Year of publication
2000
Part
4
Pages
909 - 923
Database
ISI
SICI code
0308-2105(2000)130:<909:QCFAMS>2.0.ZU;2-1
Abstract
Consider an open bounded connected set Ohm in R-n and a Lebesgue measurable set E subset of subset of Ohm of positive measure. Let u be a solution of the strictly elliptic equation D-i(a(ij)D(j)u) = 0 in Ohm, where a(ij) is a n element of C-0,C-1(<(Ohm)over bar>) and {a(ij)} is a symmetric matrix. As sume that /u/ less than or equal to epsilon in E. We quantify the propagati on of smallness of u in Ohm.