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

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

2011-12-10

arxiv.org/abs/1112.2304v3

Mathematics

Analysis of PDEs

Scientific paper

We developed a variational technique for some wide classes of nonlinear evolutions. Unlike the works of Ghoussoub and his coauthors in a similar direction, we found the main information directly from the corresponding Euler-Lagrange equations. In particular, we were able to 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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