The symmetry groups of linear partial differential equations and representation theory. I

DOI10.1006/JDEQ.1995.1034zbMath0845.35020OpenAlexW2009817733MaRDI QIDQ1345311

Mark Craddock

Publication date: 11 September 1996

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

Full work available at URL: https://doi.org/10.1006/jdeq.1995.1034

zbMATH Keywords

Heisenberg groupLie symmetry groups

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Linear higher-order PDEs (35G05)

Related Items (13)

Global actions of Lie symmetries for the nonlinear heat equation ⋮ Fourier type transforms on Lie symmetry groups ⋮ New classes of non-convolution integral equations arising from Lie symmetry analysis of hyperbolic pdes ⋮ Lie symmetry methods for multi-dimensional parabolic PDEs and diffusions ⋮ 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 ⋮ A scheme for generating nonisospectral integrable hierarchies and its related applications ⋮ Fundamental solutions, transition densities and the integration of Lie symmetries ⋮ Symmetry groups of linear partial differential equations and representation theory: The Laplace and axially symmetric wave equation ⋮ Symmetry groups and fundamental solutions for systems of parabolic equations ⋮ Globalization of the actions of the Lie symmetries of nonlinear wave equations with dissipation

This page was built for publication: The symmetry groups of linear partial differential equations and representation theory. I