Devipriya GANESHAN » Публикация

Аннотация This paper is concerned with the exact null controllability of certain semilinear Black–Scholes type equations in a bounded interval of with Neumann boundary conditions. The control is assumed to be distributed along a subset ω of I. First, we prove the exact null controllability of an associated linearized problem by establishing the observability estimate derived from a Carleman type inequality which is the key result for the whole theory. Then, the exact null controllability of the nonlinear problem is discussed using the infinite-dimensional Kakutani fixed point theorem.