A theorem on error estimates for smooth nonlinear programming problems in Banach spaces is proved that can be used to derive optimal error estimates for optimal control problems. This theorem is applied to a class of optimal control problems for quasilinear elliptic equations. The state equation...

In this paper we consider the optimal impulse control of a system which evolves randomly in accordance with a homogeneous diffusion process in ℜ<Superscript>1</Superscript>. Whenever the system is controlled a cost is incurred which has a fixed component and a component which increases with the magnitude of the control...</superscript>

Many physical as well as geodynamical and technological processes connected with heat and diffusion involving phase-change phenomena lead to solve free boundary problems of Stefan-like type. In this paper, a generalized two-phase Stefan-like problem is formulated and discussed. The method used...