Differential Equations

Optimization and Differentiation is an introduction to the application of optimization control theory to systems described by nonlinear partial differential equations. As well as offering a useful reference work for researchers in these fields, it is also suitable for graduate students of optimal co..

This volume comprises the Proceedings from the 1998 International Mathematical Congress. In it, leading specialists on partial differential equations, calculus of variations, and numerical analysis present up-to-date results, applications, and advances in numerical methods in these fields. Conferenc..

Features contributions from over 45 internationally acclaimed experts in the field of partial differential equations. This work discusses topics such as problems where a partial differential equation is coupled with unfavourable boundary or initial conditions, and boundary value problems for partial..

Partial Differential Equations and Complex Analysis is an excellent introduction to a variety of topics and presents many of the basic elements of linear partial differential equations in the context of how they are applied to the study of complex analysis. The author treats the Dirichlet and Neuman..

Based on the proceedings of the International Conference on Reaction Diffusion Systems held recently at the University of Trieste, Italy, this work presents research papers and surveys on the theory of elliptic, parabolic, and hyperbolic problems, and their related applications...

This volume draws together all these ideas and shows how they overlap and differ. It provides a useful and wide-ranging source of algorithmic concepts and techniques of analysis. The material is drawn both from theoretically oriented literature on finite differences, finite volume and finite element..

Includes proceedings of the Second International Conference on Trends in Semigroup Theory and Evolution Equations held Sept 1989, Delft University of Technology, the Netherlands...

Proceedings of the Second International Conference on Trends in Semigroup Theory and Evolution Equations held Sept. 1989, Delft University of Technology, the Netherlands. Papers deal with recent developments in semigroup theory (e.g., positive, dual, integrated), and nonlinear evolution equations (e..

This complete, self-contained book presents many realistic applications beyond the usual model problems. It concentrates on the method of separation of variables for PDEs, which remains an integral part of the training in applied mathematics. Beyond the usual model problems, the book includes a numb..

This book offers a self-contained presentation of the notion of stability in PDEs. The central questions of regularity and classification of stable solutions are treated at length. Specialists will find a summary of the most recent developments of the theory, such as nonlocal and higher-order equati..

Presents an overview of stochastic PDEs in several fields, such as filtering theory, stochastic quantization, quantum probability, and mathematical finance. This book includes such topics as Navier-Stokes equations, Ornstein-Uhlenbeck semigroups, and quantum stochastic differential equations. It off..

Contains proceedings of Varenna 2000, the international conference on theory and numerical methods of the navier-Stokes equations, held in Villa Monastero in Varenna, Lecco, Italy. This title surveys a wide range of topics in fluid mechanics, including compressible, incompressible, and non-newtonian..