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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.
Advances in Applied Clifford Algebras – Springer Journals
Published: Aug 1, 2011
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