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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