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Type: Artigo de periódico
Title: Lie Symmetries and Criticality of Semilinear Differential Systems
Author: Bozhkov, Y
Mitidieri, E
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.
Subject: Pokhozhaev identities
Noether identity
critical exponents
Country: Ucrânia
Editor: Natl Acad Sci Ukraine, Inst Math
Rights: aberto
Identifier DOI: 10.3842/SIGMA.2007.053
Date Issue: 2007
Appears in Collections:Unicamp - Artigos e Outros Documentos

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