Theorems on multidimensional Laplace transform for solution of boundary value problems
type: Item
instance of: scholarly article
title: Theorems on multidimensional Laplace transform for solution of boundary value problems
zbMATH Open document ID: 0684.44001
DOI: 10.1016/0898-1221(89)90031-X
author: Joyati Debnath
author: R. S. Dahiya
publication date: 1989-01-01T00:00:00Z
review text: A set of theorems concerning the multidimensional Laplace transform of a special type of functions are derived using a certain common method. A lot of illustrative examples contain important transform pairs in two and higher dimensions. As an application to an electrostatic potential problem a boundary value problem characterized by partial differential equations is solved by a direct use of two-dimensional Laplace transform without classical differential equation theory.
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 44A30
Mathematics Subject Classification ID: 35A22
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 4120755
zbMATH Keywords: multiple transform
zbMATH Keywords: transform methods
zbMATH Keywords: elliptic equations
zbMATH Keywords: multidimensional Laplace transform
zbMATH Keywords: transform pairs
zbMATH Keywords: electrostatic potential problem
zbMATH Keywords: boundary value problem
reviewed by: Wolf-Dieter Richter
Wikidata QID: Q59619711
MaRDI profile type: Publication
cites work: Heat transfer between a fluid and a plate: multidimensional Laplace transformation methods
cites work: Q5540785
cites work: Laplace transform pairs of N-dimensions
cites work: Q5725893
cites work: The solution of boundary value problems by a double Laplace transformation
cites work: Q5509892
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 4120755