Geodesic
On the Fiber Structure of Symmetry Invariance Sets of Solutions to Quasilinear Equations
Matematičeskie zametki, Tome 88 (2010) no. 6, pp. 924-934

Voir la notice de l'article provenant de la source Math-Net.Ru

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, quasianalyticity, weighted derivative, germ of solution.
Mots-clés : solution continuation 
@article{MZM_2010_88_6_a11,
     author = {N. A. Shananin},
     title = {On the {Fiber} {Structure} of {Symmetry} {Invariance} {Sets} of {Solutions} to {Quasilinear} {Equations}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {924--934},
     publisher = {mathdoc},
     volume = {88},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_88_6_a11/}
}
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N. A. Shananin. On the Fiber Structure of Symmetry Invariance Sets of Solutions to Quasilinear Equations. Matematičeskie zametki, Tome 88 (2010) no. 6, pp. 924-934. http://geodesic.mathdoc.fr/item/MZM_2010_88_6_a11/