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Matematicheskie Zametki, 2010, Volume 88, Issue 6, Pages 924–934
DOI: https://doi.org/10.4213/mzm7704 (Mi mzm7704) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Fiber Structure of Symmetry Invariance Sets of Solutions to Quasilinear Equations

N. A. Shananin

State University of Management
Full-text PDF (497 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm7704
Abstract: Known results about the unique continuation of solutions of anisotropic linear and weakly nonlinear differential equations and the extension of the invariance property of these solutions are applied to prove theorems about the fiberwise quasianalyticity and the fiber structure of sets of symmetry invariance of solutions to quasilinear equations.
Keywords: symmetry invariance, quasilinear equation, weakly nonlinearity, solution continuation, quasianalyticity, weighted derivative, germ of solution.
Received: 30.03.2009
English version:
Mathematical Notes, 2010, Volume 88, Issue 6, Pages 879–887
DOI: https://doi.org/10.1134/S0001434610110283
Bibliographic databases:
Document Type: Article
UDC: 517.85
Language: Russian
Citation: N. A. Shananin, “On the Fiber Structure of Symmetry Invariance Sets of Solutions to Quasilinear Equations”, Mat. Zametki, 88:6 (2010), 924–934; Math. Notes, 88:6 (2010), 879–887
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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