This article is cited in 2 papers

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

N. A. Shananin

State University of Management

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.

UDC: 517.85

Received: 30.03.2009

DOI: 10.4213/mzm7704

 English version: Mathematical Notes, 2010, 88:6, 879–887

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