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This volume is a collection of chapters covering recent advances in stochastic optimal control theory and algebraic systems theory. The book will be a useful reference for researchers and graduate students in systems and control, algebraic systems theory, and applied mathematics. Requiring only knowledge of undergraduate-level control and systems theory, the work may be used as a supplementary textbook in a graduate course on optimal control or algebraic systems theory.
This volume contains a collection of original papers, associated with the International Conference on Partial Differential Equations, held in Potsdam, July 29 to August 2, 1996. The conference has taken place every year on a high scientific level since 1991; this event is connected with the activities of the Max Planck Research Group for Partial Differential Equations at Potsdam. Outstanding researchers and specialists from Armenia, Belarus, Belgium, Bulgaria, Canada, China, France, Germany, Great Britain, India, Israel, Italy, Japan, Poland, Romania, Russia, Spain, Sweden, Switzerland, Ukraine, and the USA contribute to this volume. The main topics concern recent progress in partial differential equations, microlocal analysis, pseudo-differential operators on manifolds with singularities, aspects in differential geometry and index theory, operator theory and operator algebras, stochastic spectral analysis, semigroups, Dirichlet forms, Schrodinger operators, semiclassical analysis, and scattering theory.
This volume, which is dedicated to Heinz Langer, includes biographical material and carefully selected papers. Heinz Langer has made fundamental contributions to operator theory. In particular, he has studied the domains of operator pencils and nonlinear eigenvalue problems, the theory of indefinite inner product spaces, operator theory in Pontryagin and Krein spaces, and applications to mathematical physics. His works include studies on and applications of Schur analysis in the indefinite setting, where the factorization theorems put forward by Krein and Langer for generalized Schur functions, and by Dijksma-Langer-Luger-Shondin, play a key role. The contributions in this volume reflect Heinz Langer’s chief research interests and will appeal to a broad readership whose work involves operator theory.
Philosophy, economics, and politics are the three most important coordinates that define the work of Karl Marx. The texts collected in this volume undertake a systematic reflection of these three realms and their inter-relationships in the context of contemporary social and political change. They offer an overview of the breadth of modern methods and ways of thinking that are related to Marx.
This volume contains the contributions of the International Dortmund Meeting on Approximation Theory (IDoMAT 95) at Haus Bommerholz the conference center of Dortmund University during the week of March 13-17, 1995. At this international conference researchers and specialists from China, England, France, Hungary, Israel, Italy, Romania, U.S.A. and Germany described new developments in the fields of approximation theory. The authors discuss a variety of important ideas, questions and applicable methods in applied sciences and in several fields of approximation theory which lead to new challenges to the approximation by means of linear operators and shape preserving approximation, methods for the study of differential (diffusion) equations, approximation results of solutions of specific hyperbolic differential equations, polynomial and spline interpolation, density problems in multivariate approximation, orthogonal polynomials and wavelets. This volume collects the complete papers of the invited lectures together with a selection of papers relating to the research talks presented at IDoMAT 95.
The present book consists of three parts. In the first part a theory of solvability for the stationary Stokes equations in exterior domains is developed. We prove existence of strong solutions in Sobolev spaces and use a localisation principle and the divergence equation to deduce further properties of the solution (uniqueness, asymptotics).