ATTRACTORS OF m-HESSIAN EVOLUTIONS

摘要

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 initial-boundary value problem for the m-Hessian evolution equations to stationary functions as t → ∞. Bibliography: 18 titles.