Applications of the L_2-Transform to Partial Differential Equations
Analysis of PDEs
2012-02-16 v2 Classical Analysis and ODEs
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.
Keywords
Cite
@article{arxiv.1202.2402,
title = {Applications of the L_2-Transform to Partial Differential Equations},
author = {Todd Gaugler},
journal= {arXiv preprint arXiv:1202.2402},
year = {2012}
}
Comments
6 Pages, Updated to add contact information