Calculus of Variations and Optimal Control
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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 refereed 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.
Table of Contents
Calculus of Variations and Differential Equations-
On the Existence of the Impossible Pilot Wave, V. Benci
Multiply Connected Mesoscopic Superconducting Structures, J. Berge, J. Rubinstein, and M. Schatzman
The Role of Monotonicity in some Shape Optimization Problems, G. Buttazzo and P. Trebeschi
A Weak Notion of Convergence in Capacity with Applications to Thin Obstacle Problems, J. Casado-Diaz and G. Dal Maso
On Critical Point Theory with the (P S)* Condition, J.N. Corvellec
On e-Monotonicity and e-Convexity, T.L. Dinh, V.M. Huynh, and M. Thera
Approximations of One-Sided Lipschitz Differential Inclusions with Discontinuous Right-Hand Sides, T. Donchev and E. Farkhi
Nonlinear Optimization: On the Min-Max Digraph and Global Smoothing, H.Th. Jongen and A. Ruiz Jhones
On Radially Symmetric Minimizers of Second Order Two-Dimensional Variational Problems, A. Leizarowitz and M. Marcus
Some , Theorems and Partial Differential Equations, A. Marino and C. Saccon
Bounded and Almost Periodic Solutions of Nonlinear Differential Equations: Variational vs. Non-Variational Approach, J. Mawhin
New Developments Concerning the Lavrentiev Phenomenon, V.J. Mizel
Positive Solutions for Elliptic Equations with Critical Growth in Unbounded Domains, M. Ramos, Z.Q. Wang, and M. Willem
On the Minimization of Convex Functionals, S. Reich and A. Zaslavski
Semilinear Elliptic Problems on Unbounded Domains, I. Schindler and K. Tintarev
On the Ginzburg-Landau Equation with Magnetic Field, S. Serfaty
Techniques for Maximal Monotonicity, S. Simons
Fast-Slow Dynamics and Relaxing Evolution Equations, M. Slemrod