Applications of the L_2-Transform to Partial Differential Equations

Details Applications of the L_2-Transform to Partial Differential Equations Applications of the L_2-Transform to Partial Differential Equations

2012-02-11

arxiv.org/abs/1202.2402v2

Mathematics

Analysis of PDEs

6 Pages, Updated to add contact information

Scientific paper

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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