Theorems on multidimensional Laplace transform for solution of boundary value problems (Q1825397)
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scientific article; zbMATH DE number 4120755
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Theorems on multidimensional Laplace transform for solution of boundary value problems |
scientific article; zbMATH DE number 4120755 |
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Theorems on multidimensional Laplace transform for solution of boundary value problems (English)
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1989
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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.
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multiple transform
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transform methods
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elliptic equations
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multidimensional Laplace transform
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transform pairs
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electrostatic potential problem
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boundary value problem
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