Viorel Barbu, Irena Lasiecka, Dan Tiba, Constantin Varsan
Analysis and Optimization of Differential Systems focuses on the qualitative aspects of deterministic and stochastic differential equations. Areas covered include: *Ordinary and partial differential systems; *Optimal control of deterministic and stochastic evolution equations; *Control theory of Partial Differential Equations (PDE's); *Optimization methods in PDE's with numerous applications to mechanics and physics; *Inverse problems; *Stability theory; *Abstract optimization problems; *Calculus of variations; *Numerical treatment of...
Analysis and Optimization of Differential Systems focuses on the qualitative aspects of deterministic and stochastic differential ...
The material of the present book has been used for graduate-level courses at the University of Ia~i during the past ten years. It is a revised version of a book which appeared in Romanian in 1993 with the Publishing House of the Romanian Academy. The book focuses on classical boundary value problems for the principal equations of mathematical physics: second order elliptic equations (the Poisson equations), heat equations and wave equations. The existence theory of second order elliptic boundary value problems was a great challenge for nineteenth century mathematics and its development was...
The material of the present book has been used for graduate-level courses at the University of Ia~i during the past ten years. It is a revised version...
