Classical solutions of the perturbed wave equation with singular potential

A. Vaidya; G. A.J. Sparling

Classical solutions of the perturbed wave equation with singular potential

A. Vaidya
, G. A.J. Sparling

Mathematics

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

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
Pages (from-to)	165-175
Number of pages	11
Journal	Acta Mathematica Universitatis Comenianae
Volume	72
Issue number	2
State	Published - 2003

Keywords

Cauchy Problem
Perturbed Wave Equation
Singular Potential

Cite this

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title = "Classical solutions of the perturbed wave equation with singular potential",

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.",

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

AU - Vaidya, A.

AU - Sparling, G. A.J.

PY - 2003

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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 - https://www.scopus.com/pages/publications/17844393415

M3 - Article

AN - SCOPUS:17844393415

SN - 0862-9544

VL - 72

SP - 165

EP - 175

JO - Acta Mathematica Universitatis Comenianae

JF - Acta Mathematica Universitatis Comenianae

IS - 2

ER -

Classical solutions of the perturbed wave equation with singular potential

Abstract

Keywords

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