Lie Symmetries and Criticality of Semilinear Differential Systems

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dc.creatorBozhkov, Yuri
dc.creatorMitidieri, Enzo
dc.date2007-03-25
dc.date.accessioned2026-07-07T09:34:29Z
dc.date.available2026-07-07T09:34:29Z
dc.descriptionWe 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.
dc.descriptionPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/math-ph/0703071
dc.identifierhttp://arxiv.org/abs/math-ph/0703071
dc.identifierSIGMA 3 (2007), 053, 17 pages
dc.identifierdoi:10.3842/SIGMA.2007.053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159507
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subjectExactly Solvable and Integrable Systems
dc.titleLie Symmetries and Criticality of Semilinear Differential Systems
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