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Zbl 0977.44002
Babakhani, Ali; Dahiya, R.S.
Systems of multi-dimensional Laplace transforms and a heat equation. (English)
[J] Electron. J. Differ. Equ. 2001, Conf. 07, 25-36, electronic only (2001). ISSN 1072-6691/e

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 2000:
*44A30 Multiple transforms
44A10 Laplace transform
35A22 Transform methods (PDE)
35K05 Heat equation

Keywords: heat equation; systems of two-dimensional Laplace transforms; Laplace transform pairs; boundary value problem

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