ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Vol. LXXII, 2 (2003)
p. 159 – 163
Classical Solutions of the Perturbed Wave Equation with Singular Potential
A. Vaidya and G. A. Sparling
Abstract.
This paper discusses the solutions to the perturbed wave equation
containing a singular potential term in the Lorentzian metric. We
present the classical solution to the problem using the separation
of variables method for any dimension, $n$. Special solutions are
obtained for even $n$'s and properties of these solutions are
discussed. Finally, we also consider the solution to the Cauchy
problem for the case $n=2$.
AMS subject classification:
35R05, Secondary: 35C15, 35Q99
Keywords:
Perturbed Wave Equation, Singular Potential, Cauchy Problem
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Acta Mathematica Universitatis Comenianae
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