Calculus of Variations and Optimal Control

The calculus of variations is a classical area of mathematical analysis-300 years old-yet its myriad applications in science and technology continue to hold great interest and keep it an active area of research. These two volumes contain the referenced proceedings of the international conference on Calculus of Variations and Related Topics held at the Technion-Israel Institute of Technology in March 1998. The conference commemorated 300 years of work in the field and brought together many of its leading experts. The papers in the first volume focus on critical point theory and differential equations. The other volume deals with variational aspects of optimal control. Together they provide a unique opportunity to review the state-of-the-art of the calculus of variations, as presented by an international panel of masters in the field.

Alexander Ioffe, Simeon Reich, I Shafrir

Calculus of Variations and Differential Equations, On the Existence of the Impossible Pilot Wave, Multiply Connected Mesoscopic Superconducting Structures, The Role of Monotonicity in some Shape Optimization Problems, A Weak Notion of Convergence in Capacity with Applications to Thin Obstacle Problems, On Critical Point Theory with the (P S)* Condition, On e-Monotonicity and e-Convexity, Approximations of One-Sided Lipschitz Differential Inclusions with Discontinuous Right-Hand Sides, Nonlinear Optimization: On the Min-Max Digraph and Global Smoothing, On Radially Symmetric Minimizers of Second Order Two-Dimensional Variational Problems, Some , Theorems and Partial Differential Equations, Bounded and Almost Periodic Solutions of Nonlinear Differential Equations: Variational vs. Non-Variational Approach, New Developments Concerning the Lavrentiev Phenomenon, Positive Solutions for Elliptic Equations with Critical Growth in Unbounded Domains, On the Minimization of Convex Functionals, Semilinear Elliptic Problems on Unbounded Domains, On the Ginzburg-Landau Equation with Magnetic Field, Techniques for Maximal Monotonicity, Fast-Slow Dynamics and Relaxing Evolution Equations