English

On attractors of m-Hessian evolutions

Analysis of PDEs 2015-03-16 v1

Abstract

We study the asymptotic behavior of C^2-evolutions u = u(x,t) under a given action of the m-Hessian evolution operators and boundary conditions. We obtain sufficient (close to necessary) conditions for the convergence of solutions to the first intial-boundary value problem for the m-Hessian evolution equations to stationary functions as t tends to infinity.

Keywords

Cite

@article{arxiv.1503.04167,
  title  = {On attractors of m-Hessian evolutions},
  author = {Nina Ivochkina and Nadezda Filimonenkova},
  journal= {arXiv preprint arXiv:1503.04167},
  year   = {2015}
}

Comments

12 pages