Variational resolution for some general classes of nonlinear evolutions. Part I
Analysis of PDEs
2013-08-09 v9
Abstract
We develop a variational technique for some wide classes of nonlinear evolutions. The novelty here is that we derive the main information directly from the corresponding Euler-Lagrange equations. In particular, we prove that not only the minimizer of the appropriate energy functional but also any critical point must be a solution of the corresponding evolutional system.
Cite
@article{arxiv.1112.2304,
title = {Variational resolution for some general classes of nonlinear evolutions. Part I},
author = {Arkady Poliakovsky},
journal= {arXiv preprint arXiv:1112.2304},
year = {2013}
}