Two scale defect measure and linear equations with oscillating coefficients
Author:
Aleksic Jelena1,
Pilipovic Stevan1ORCID
Affiliation:
1. Department of Mathematics and Informatics, Faculty of sciences, University of Novi Sad, Novi Sad, Serbia
Abstract
Microlocal measure ? is associated to a two-scale convergent sequence un over
Rd with the limit u ? L2(Rd x Td), Td is a torus, to analyze possible strong
limit. ? is an operator valued measure absolutely continuous with respect to
the product of scalar microlocal defect measure and a measure on the
d-dimensional torus. The result is applied to the first order linear PDE
with the oscillating coefficients.
Funder
Ministry of Education, Science and Technological Development of the Republic of Serbia
Publisher
National Library of Serbia
Subject
General Mathematics