In this work, we have studied the quadratic cost optimal control problems and their numerical analysis of nonlinear parabolic distributed parameter systems. After established the fundamental existence and uniqueness results, we have developed the nonlinear optimal control theory for the equations having uniform Lipschitz continuous nonlinearity. Then we have applied the theoretical results to practical nonlinear parabolic partial differential equations including reaction-diffusion equations, diffusion Hopfield neural network equations. Furthermore, numerical evidences for these issues have also been solved by using variational method and finite element approach.

Dr. Quan-Fang Wang was awarded the Master, Doctor Degrees in Computer and System Sciences, Mathematical and Material Sciences at Kobe University, Japan, in 1999 and 2002,respectively. Via Chinese Academy of Sciences, she worked with The Chinese University of Hong Kong 2004. She is included in the Marquis Who's Who in the World 2011 (28th Edition).