Exact controllability for semilinear parabolic equations with Neumann boundary conditions
Exact boundary controllability for parabolic equations with Neumann boundary conditions and various nonlinear perturbation terms is considered. After solving the linear case, the Schauder fixed point theorem gives the global null-controllability if the nonlinearity is of sublinear growth type. Similarly, the implicit function theorem gives the local exact controllability for the super-linear growth case.
scientific article; zbMATH DE number 1431822
scientific article