EXACT SOLUTIONS TO THE BOUNDARY-VALUE PROBLEMS FOR THE HELMHOLTZ EQUATION IN A LAYER WITH POLYNOMIALS IN THE RIGHT-HAND SIDES OF THE EQUATION AND OF THE BOUNDARY CONDITIONS

EXACT SOLUTIONS TO THE BOUNDARY-VALUE PROBLEMS FOR THE HELMHOLTZ EQUATION IN A LAYER WITH POLYNOMIALS IN THE RIGHT-HAND SIDES OF THE EQUATION AND OF THE BOUNDARY CONDITIONS

Purpose. We have found exact solutions to boundary-value problems for the inhomogeneous Helmholtz equation with the polynomial right-hand side in a multidimensional infinite layer bounded by two hyperplanes. Methodology and Approach. The paper considers Dirichlet and Dirichlet-Neumann boundary-value...

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Bibliographic Details
Main Author: Алгазин Олег Дмитриевич
Format: Article
Language:Russian
Published: Moscow Region State University Editorial Office 2020-04-01
Series:Вестник московского государственного областного университета. Серия: Физика-математика
Subjects:
Helmholtz equation
Dirichlet problem
Dirichlet-Neumann problem
Fourier transform
generalized functions of slow growth
Online Access:http://vestnik-mgou.ru/Articles/View/13641

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