Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

On solutions of a nonlinear wave equation derived from brain activity modeling

On solutions of a nonlinear wave equation derived from brain activity modeling Abstract The paper deals with a boundary value problem governed by a nonlinear damped wave equation. It generalizes the equation modeling cerebral activity that has been proposed by Jirsa and Haken (Phys, Rev. Let. 77: 960–963, 1996). Using a Galerkin approximation scheme, we prove existence of global solutions. In the 1D case, we show the continuous dependence of solutions with respect to initial data and derive uniqueness. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Pure and Applied Mathematics de Gruyter

On solutions of a nonlinear wave equation derived from brain activity modeling

Download PDF
16 pages

Loading next page...
 
/lp/de-gruyter/on-solutions-of-a-nonlinear-wave-equation-derived-from-brain-activity-tWOUMCZmdm

References

References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.

Publisher
de Gruyter
Copyright
Copyright © 2011 by the
ISSN
1867-1152
eISSN
1869-6090
DOI
10.1515/apam.2011.002
Publisher site
See Article on Publisher Site

Abstract

Abstract The paper deals with a boundary value problem governed by a nonlinear damped wave equation. It generalizes the equation modeling cerebral activity that has been proposed by Jirsa and Haken (Phys, Rev. Let. 77: 960–963, 1996). Using a Galerkin approximation scheme, we prove existence of global solutions. In the 1D case, we show the continuous dependence of solutions with respect to initial data and derive uniqueness.

Journal

Advances in Pure and Applied Mathematics – de Gruyter

Published: May 1, 2011

There are no references for this article.