Global actions of Lie symmetries for the nonlinear heat equation

DOI10.1016/j.jmaa.2009.06.047zbMath1179.35037OpenAlexW2023825888MaRDI QIDQ837113

Mark R. Sepanski

Publication date: 10 September 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.06.047

zbMATH Keywords

infinitesimal symmetrieslocal Lie groups

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Invariance and symmetry properties for PDEs on manifolds (58J70) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Geometric theory, characteristics, transformations in context of PDEs (35A30) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (1)

Globalization of the actions of the Lie symmetries of nonlinear wave equations with dissipation

Cites Work

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• The minimal representation of the conformal group and classic solutions to the wave equation
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
• Nonlinear boundary value problems in science and engineering

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