Approximate controllability and homogenization of a semilinear elliptic problem

On partial approximate controllability of semilinear systems

Approximate Controllability of Delayed Semilinear Control Systems

We deal with the approximate controllability of control systems governed by delayed semilinear differential equations ẏ(t) =Ay(t) +A1y(t−∆) +F(t, y(t), yt) + (Bu)(t). Various sufficient conditions for approximate controllability have been obtained; these results usually require some complicated and limited assumptions. Results in this paper provide sufficient conditions for the approximate cont...

Homogenization of a Periodic Degenerate Semilinear Elliptic Pde

In this paper a semilinear elliptic PDE with rapidly oscillating coefficients is homogenized. The novetly of our result lies in the fact that we allow the second order part of the differential operator to be degenerate in some portion of Rd. Our fully probabilistic method is based on the connection between PDEs and BSDEs with random terminal time and the weak convergence of a class of diffusion...

On the approximate controllability of semilinear control systems

ABOUT THE AUTHORS Divya Ahluwalia received her PhD degree in Mathematics from Indian Institute of Technology, Roorkee (India) in 2004. Currently, she is an associate professor in the University of Petroleum and Energy Studies, Dehradun, India. Her research area includes controllability of deterministic systems. N. Sukavanam received his BSc (Maths) degree from University of Madras, India in 197...

Approximate Controllability of Semilinear Nonautonomous Systems in Hilbert Spaces

In this paper we give a necessary and sufficient conditions for approximate controllability of a wide class of semilinear nonautonomous systems in Hilbert spaces. This is done by employing skew-product semi-flows technique. As an application we prove the approximate controllability of a broad class of nonautonomous semilinear reaction diffusion equations which includes the semilinear heat equat...