On the fiber structure of symmetry invariance sets of solutions to quasilinear equations

DOI10.1134/S0001434610110283zbMath1270.35035MaRDI QIDQ650361

N. A. Shananin

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

quasilinear equationsolution continuationgerm of solutionquasianalyticitysymmetry invarianceweakly nonlinearityweighted derivative

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Continuation and prolongation of solutions to PDEs (35B60) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (1)

On the unique continuation of the germs of solutions of first-order differential equations along curves

Cites Work

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• Scattering of solitons in the formalism of the Darboux transform
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• Propagation of the invariance of germs of solutions of weakly nonlinear differential equations with weighted derivatives
• Uniqueness in the Cauchy Problem for Partial Differential Equations
• Unique continuation of solutions of differential equations with weighted derivatives
• Partial quasianalyticity of distribution solutions of weakly nonlinear differential equations with weights assigned to derivatives

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