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

Arkady Poliakovsky

doi:10.3233/ASY-131171

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

Arkady Poliakovsky

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	29-74
Number of pages	46
Journal	Asymptotic Analysis
Volume	85
Issue number	1-2
DOIs	https://doi.org/10.3233/ASY-131171
State	Published - 4 Dec 2013

Keywords

Evolution equations
Variational principles

ASJC Scopus subject areas

Mathematics (all)

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10.3233/ASY-131171

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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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AB - 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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Variational resolution for some general classes of nonlinear evolutions. Part i

Abstract

Keywords

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