### 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.

Original language | English |
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Pages (from-to) | 165-175 |

Number of pages | 11 |

Journal | Acta Mathematica Universitatis Comenianae |

Volume | 72 |

Issue number | 2 |

State | Published - 1 Dec 2003 |

### Fingerprint

### Keywords

- Cauchy Problem
- Perturbed Wave Equation
- Singular Potential

### Cite this

*Acta Mathematica Universitatis Comenianae*,

*72*(2), 165-175.

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*Acta Mathematica Universitatis Comenianae*, vol. 72, no. 2, pp. 165-175.

**Classical solutions of the perturbed wave equation with singular potential.** / Vaidya, Ashuwin; Sparling, G. A J.

Research output: Contribution to journal › Article › Research › peer-review

TY - JOUR

T1 - Classical solutions of the perturbed wave equation with singular potential

AU - Vaidya, Ashuwin

AU - Sparling, G. A J

PY - 2003/12/1

Y1 - 2003/12/1

N2 - 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.

AB - 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.

KW - Cauchy Problem

KW - Perturbed Wave Equation

KW - Singular Potential

UR - http://www.scopus.com/inward/record.url?scp=17844393415&partnerID=8YFLogxK

M3 - Article

VL - 72

SP - 165

EP - 175

JO - Acta Mathematica Universitatis Comenianae

JF - Acta Mathematica Universitatis Comenianae

SN - 0862-9544

IS - 2

ER -