Theorems on multidimensional Laplace transform for solution of boundary value problems
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.
scientific article; zbMATH DE number 4120755