Finite approximate controllability for semilinear heat equations in noncylindrical domains

Abstract

We investigate finite approximate controllability for semilinear heat equation in noncylindrical domains. First we study the linearized problem and then by an application of the fixed point result of Leray-Schauder we obtain the finite approximate controllability for the semilinear state equation.

Keywords

• heat operator
• finite approximate controllability
• Leray-Schauder fixed point
• non-cylindrical