Non-uniqueness for second order elliptic operators. (January 2016)

• Record Type: Journal Article
• Authors: Metafune, Giorgio; Sobajima, Motohiro; Spina, Chiara
• Is Part Of: Nonlinear analysis. Volume 131(2016)
• Page Start: 155
• Page End: 169
• Publication Date: 2016-01
• Subjects: 47D07 -- 35B50 -- 35J25 -- 35J70; Uniqueness -- Elliptic operators -- Discontinuous coefficients -- Generation results -- Analytic semigroups; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2015.05.036
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We show an abstract method to construct different realizations of abstract operators generating a strongly continuous semigroup and apply it to several second order elliptic operators with singular coefficients.