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arXiv · 1202.2402

Applications of the L_2-Transform to Partial Differential Equations

Todd Gaugler
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Abstract

This paper aims to demonstrate the applicability of the L_2-integral transform to Partial Differential Equations (PDEs). Of special interest is section (6), which contains an application of the L_2-transform to a PDE of exponential squared order, but not of exponential order. Sections (1) and (2) aim to introduce the history and some elementary properties of the L_2-transform, (3) and (4) include some of the transform's simple applications, and section (5) introduces the L_2 convolution.

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Todd Gaugler. 2012-02-11. Applications of the L_2-Transform to Partial Differential Equations. https://arxiv.org/abs/1202.2402

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