Symmetry groups of linear partial differential equations and representation theory: The Laplace and axially symmetric wave equation

DOI10.1006/JDEQ.2000.3786zbMath0962.35010OpenAlexW2001452638MaRDI QIDQ1582639

Mark Craddock

Publication date: 31 May 2001

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2000.3786

zbMATH Keywords

Lie point symmetriesprolongation algorithm

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (11)

Global actions of Lie symmetries for the nonlinear heat equation ⋮ Fourier type transforms on Lie symmetry groups ⋮ On the reduction of nonlinear mechanical systems via moving frames: a bead on a rotating wire hoop and a spinning top ⋮ New classes of non-convolution integral equations arising from Lie symmetry analysis of hyperbolic pdes ⋮ Symmetry group methods for fundamental solutions ⋮ Symmetry group methods for heat kernels ⋮ On global \(\text{SL}(2,\mathbb R)\) symmetries of differential operators ⋮ On the equivalence of Lie symmetries and group representations ⋮ Fundamental solutions, transition densities and the integration of Lie symmetries ⋮ Reduced motion equations of an axisymmetric body spinning on a horizontal surface via Lie symmetries ⋮ Symmetry groups and fundamental solutions for systems of parabolic equations

Cites Work

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• Lie groups and algebras with applications to physics, geometry, and mechanics
• Symmetry groups of partial differential equations, separation of variables, and direct integral theory
• The symmetry groups of linear partial differential equations and representation theory. I
• Symmetry group methods for heat kernels
• Uniformly Bounded Representations for the Lorentz Groups
• Symmetries and differential equations

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