On attractors of m-Hessian evolutions
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.
math.AP↗