Symmetry groups of partial differential equations, separation of variables, and direct integral theory

DOI10.1006/jfan.1994.1133zbMath0809.35014OpenAlexW2024298316MaRDI QIDQ1340837

Mark Craddock

Publication date: 20 December 1994

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1994.1133

zbMATH Keywords

separation of variablesLie group symmetriesintegral decompositions for solution spaces

Mathematics Subject Classification ID

Heat equation (35K05) Invariance and symmetry properties for PDEs on manifolds (58J70) Hypoelliptic equations (35H10) Linear higher-order PDEs (35G05) Other special methods applied to PDEs (35A25)

Related Items (7)

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 ⋮ CREDIT-EQUITY MODELING UNDER A LATENT LÉVY FIRM PROCESS ⋮ Symmetry group methods for fundamental solutions ⋮ Symmetry group methods for heat kernels ⋮ Symmetry groups of linear partial differential equations and representation theory: The Laplace and axially symmetric wave equation

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