Variational resolution for some general classes of nonlinear evolutions. Part I

Arkady Poliakovsky

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arXiv · 1112.2304

Variational resolution for some general classes of nonlinear evolutions. Part I

Arkady Poliakovsky

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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.

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Arkady Poliakovsky. 2013-08-08. Variational resolution for some general classes of nonlinear evolutions. Part I. https://arxiv.org/abs/1112.2304

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