Linearized Controllability Analysis of Semilinear Partial Differential Equations

Controllability of partial differential equations

Symmetry Coefficients of Semilinear Partial Differential Equations

We show that for any semilinear partial differential equation of order m, the infinitesimals of the independent variables depend only on the independent variables and, if m > 1 and the equation is also linear in its derivatives of order m− 1 of the dependent variable, then the infinitesimal of the dependent variable is at most linear on the dependent variable. Many examples of important partial...

Controllability of Stochastic Semilinear Functional Differential Equations in Hilbert Spaces

In this paper approximate and exact controllability for semilinear stochastic functional differential equations in Hilbert spaces is studied. Sufficient conditions are established for each of these types of controllability. The results are obtained by using the Banach fixed point theorem. Applications to stochastic heat equation are given.

Approximate Boundary Controllability for Semilinear Delay Differential Equations

On partial approximate controllability of semilinear systems