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Möbius transformation and degenerate hyperbolic equation

Möbius transformation and degenerate hyperbolic equation Many problems in mathematical physics lead to degenerate partial differential equations of second order. In this area the difficulty in higher dimensions still remains. In this paper we consider the initial-value problem for then-dimensional degenerate hyperbolic equation which in case of space dimensionn=1 becomes the one-dimensional wave equation. The treatment is the same as the idea of extending harmonic functions to obtain solutions of the wave equation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Applied Clifford Algebras Springer Journals

Möbius transformation and degenerate hyperbolic equation

Advances in Applied Clifford Algebras , Volume 11 (2) – Aug 1, 2011

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References (19)

Publisher
Springer Journals
Copyright
Copyright © 2001 by Birkhauser-Verlag AG
Subject
Physics; Mathematical Methods in Physics; Theoretical, Mathematical and Computational Physics; Applications of Mathematics; Physics, general
ISSN
0188-7009
eISSN
1661-4909
DOI
10.1007/BF03219129
Publisher site
See Article on Publisher Site

Abstract

Many problems in mathematical physics lead to degenerate partial differential equations of second order. In this area the difficulty in higher dimensions still remains. In this paper we consider the initial-value problem for then-dimensional degenerate hyperbolic equation which in case of space dimensionn=1 becomes the one-dimensional wave equation. The treatment is the same as the idea of extending harmonic functions to obtain solutions of the wave equation.

Journal

Advances in Applied Clifford AlgebrasSpringer Journals

Published: Aug 1, 2011

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