An ε-Optimal Portfolio with Stochastic Volatility
We consider an extended Merton's problem of optimal consumption and investment in continuous-time with stochastic volatility. The wealth process of the investor is approximated by a particular weak Ito-Taylor approximation called Euler scheme. It is shown that the optimal control of the value function generated by the Euler scheme is an e-optimal control of the original problem of maximizing total expected discounted HARA utility from consumption.
In this paper, we study the polynomial stabilization for a system of magnetoelastic plates. Linear and nonlinear models are considered. The polynomial stability is obtained by means of a new multiplier given by a first-order hyperbolic problem.