An invitation to modern group analysis of differential equations. (July 2015)

• Record Type: Journal Article
• Authors: Bozhkov, Yuri
• Is Part Of: Nonlinear analysis. Volume 121(2015)
• Page Start: 230
• Page End: 240
• Publication Date: 2015-07
• Subjects: 76M60 -- 58J70 -- 35A30 -- 70G65; Lie point symmetry -- Noether theorem -- Rellich identity -- Pohozaev identity; 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.2014.11.004
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: The purpose of this review paper is two-fold. First, we point out one more time the importance and usefulness of the S. Lie theory of symmetries of differential equations. In particular some illustrative examples are presented. Then, we discuss the Noetherian approach to Rellich–Pohozaev type identities.