{ "id": "1202.2402", "version": "v2", "published": "2012-02-11T02:29:51.000Z", "updated": "2012-02-15T06:50:36.000Z", "title": "Applications of the L_2-Transform to Partial Differential Equations", "authors": [ "Todd Gaugler" ], "comment": "6 Pages, Updated to add contact information", "categories": [ "math.AP", "math.CA" ], "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.", "revisions": [ { "version": "v2", "updated": "2012-02-15T06:50:36.000Z" } ], "analyses": { "keywords": [ "partial differential equations", "transforms simple applications", "paper aims", "exponential squared order", "exponential order" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1202.2402G" } } }