Variational resolution for some general classes of nonlinear evolutions. Part I Academic Article uri icon

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.

publication date

  • January 1, 2013