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Systems of multi-dimensional Laplace transforms and a heat equation. (English) Zbl 0977.44002
Summary: The authors establish several new theorems involving systems of two-dimensional Laplace transforms containing five to seven equations. These systems can be used to calculate new Laplace transform pairs. In the second part, a boundary value problem is solved by using the double Laplace transformation.

MSC:
44A30 Multiple integral transforms
44A10 Laplace transform
35A22 Transform methods (e.g., integral transforms) applied to PDEs
35K05 Heat equation
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