Volume 13, Issue 4, November 2006, Pages 516 - 522
On Nonlinear Differential Equations That Describe Localized Processes
Authors
Vladimir P. Burskii
Corresponding Author
Vladimir P. Burskii
Received 16 December 2005, Accepted 18 July 2006, Available Online 1 November 2006.
- DOI
- 10.2991/jnmp.2006.13.4.6How to use a DOI?
- Abstract
In this paper we want to characterize nonlinear differential equations that describe processes allowing a localization operation in each subdomain of domain in which we consider the process. We formulate this localization condition by means of visual reresentations and give this operation a mathematical sense. Then we obtain a general form for such equation as well as put in it certain general physical contents, taking into account the fact that nonlinear operators from physically intelligent equations satisfy this condition.
- Copyright
- © 2006, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Vladimir P. Burskii PY - 2006 DA - 2006/11/01 TI - On Nonlinear Differential Equations That Describe Localized Processes JO - Journal of Nonlinear Mathematical Physics SP - 516 EP - 522 VL - 13 IS - 4 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2006.13.4.6 DO - 10.2991/jnmp.2006.13.4.6 ID - Burskii2006 ER -