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Symmetry Groups of Partial Differential Equations, Separation of Variables, and Direct Integral Theory

โœ Scribed by M. Craddock

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
712 KB
Volume
125
Category
Article
ISSN
0022-1236

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โœฆ Synopsis

We study unitary symmetries of linear partial differential equations. By applying representation theory we show how to decompose a Hilbert space of solutions to certain classes of equations as direct integrals. 1994 Academic Press, Inc.

๐Ÿ“œ SIMILAR VOLUMES

Complete Symmetry Groups of Ordinary Dif
Complete Symmetry Groups of Ordinary Differential Equations and Their Integrals: Some Basic Considerations
โœ K. Andriopoulos; P.G.L. Leach; G.P. Flessas ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 116 KB

The concept of the complete symmetry group of a differential equation introduced by J. Krause (1994, J. Math. Phys. 35, 5734-5748) is extended to integrals of such equations. This paper is devoted to some aspects characterising complete symmetry groups. The algebras of the symmetries of both differe