Differential Equations, Partial: Overdetermined Systems Dissipative Singular Schrodinger Operator Index Theory

This volume contains three articles on linear overdetermined systems of partial differential equations, dissipative Schroedinger operators, and index theorems. Each article presents a survey of its subject, discussing fundamental results, such as the construction of compatibility operators and complexes for elliptic, parabolic and hyperbolic coercive problems, the method of functional models, and the Atiyah-Singer index theorem and its generalizations. Both classical and recent results are explained in detail and illustrated by means of example.