Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/80939
Type: Artigo
Title: Lie symmetries and criticality of semilinear differential systems
Author: Bozhokov, Yuri
Mitidieri, Enzo
Abstract: We discuss the notion of criticality of semilinear differential equations and systems, its relations to scaling transformations and the Noether approach to Pokhozhaev's identities. For this purpose we propose a definition for criticality based on the S. Lie symmetry theory. We show that this definition is compatible with the well-known notion of critical exponent by considering various examples. We also review some related recent papers.
We discuss the notion of criticality of semilinear differential equations and systems, its relations to scaling transformations and the Noether approach to Pokhozhaev's identities. For this purpose we propose a definition for criticality based on the S. L
Subject: Simetrias de Noether
Simetrias de Lie
Expoentes críticos
Country: Ucrânia
Editor: Natsional'na Akademiya Nauk Ukrainy/Instytut Matematyky
Citation: Symmetry Integrability And Geometry-methods And Applications. Natl Acad Sci Ukraine, Inst Math, v. 3, 2007.
Rights: Aberto
Identifier DOI: 10.3842/SIGMA.2007.053
Address: https://www.emis.de/journals/SIGMA/2007/053/
Date Issue: 2007
Appears in Collections:IMECC - Artigos e Outros Documentos

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