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Lie Symmetries and Criticality of Semilinear Differential Systems

Vernadsky National Library of Ukraine

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Title Lie Symmetries and Criticality of Semilinear Differential Systems
 
Creator Bozhkov, Y.
Mitidieri, E.
 
Description 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.
 
Date 2019-02-16T08:35:03Z
2019-02-16T08:35:03Z
2007
 
Type Article
 
Identifier Lie Symmetries and Criticality of Semilinear Differential Systems / Y. Bozhkov, E. Mitidieri // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 39 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 35J50; 35J20; 35J60; 35L70
http://dspace.nbuv.gov.ua/handle/123456789/147807
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України