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Introduces a Morse (index) theory that is easier to use, less technical, and flexible than theories for strongly indefinite functionals. This book presents a self-contained treatment with full proofs of the major results and with applications of the theory to Hamiltonian systems and other areas of research.

These conference proceedings are concerned with the solution of mathematical models from various physical domains, by means of integral methods in conjunction with various approximation schemes.

Introduces readers to the inherent characteristics of nonlinear DAE systems and the methods used to address their control. This work then discusses the significance of DAE systems to the modeling and control of chemical processes. It presents results on the stabilization and disturbance elimination for a large class of nonlinear DAE systems.

Suitable for numerical analysts, this text contains the proceedings of the 18th Dundee Biennial Conference on Numerical Analysis. It covers things ranging from partial differential equations to linear algebra and approximation theory.

The seminal 1989 work of Douglas and Paulsen in the theory of analytic Hilbert modules precipitated a number of major research efforts. This title reports on the progress made by the authors and others, including the characteristic space theory, rigidity, the equivalence problem, and reproducing Hilbert spaces on n-dimensional complex space.

The index theorem is a central result of modern mathematics and all students of global analysis need to be familiar with it. This edition preserves the brevity of the first edition, but includes new material and reworkings of some of the more difficult arguments.

This volume constitutes the proceedings of a mathematical conference on functional analysis and its applications. Topics covered include: topological vector spaces; Banach algebras; meromorphic functions; partial differential equations; and variational equations and inequalities.

Offers a comprehensive, mathematically rigorous treatment of many-body physics. This book develops the mathematical tools for describing quantum many-body systems and applies them to the many-electron system.

First of three volumes containing the proceedings of the International Colloquium on Free Boundary Problems: Theory and Applications, held in Canada in June 1990. Topics covered in this volume range from combustion in porous media to controlled release of drugs by osmosis.

The purpose of this monograph is to study the common zeroes of families of polynomials in several variables which are related to higher dimensional quadrature. It aims to introduce a new approach and use it to conduct a systematic study.

This volume collects the proceedings of conferences given at the University of Metz during the 1992 "Metz Days". Various important topics in partial differential equations are examined: phase transition, evolution problems, bifurcation, stability and parabolic problems.

This book provides a new mathematical theory for the treatment of an ample series of spatial problems of electrodynamics, particle physics, quantum mechanics and elasticity theory

This text establishes a number of integral expansions of Mehler-Fock type and also obtains as applications some simple functions. The book is designed to motivate researchers in applied mathematics to initiate work on appropriate physical problems in contiuum mechanics and wave diffraction.

Despite their importance and the amount of research published on the theory of the Navier-Stokes equations, some very elementary and fundamental questions remain unanswered. This book explores two main topics: the search for mild solutions using the tools of real harmonic analysis, and the 1982 regularity criterion of Caffarelli et al.

This text is based on graduate courses given at Cornell University between 1985 and 1992. Its aim is to introduce the reader to theoretical considerations involved in the study of multigrid methods, always keeping the practical applicability in mind.

These conference proceedings cover a range of applications of nonstandard mathematics, including measure and probability theory, stochastic analysis, functional analysis, differential equations, generalized functions, mathematical physics and differential geometry.

Presents the basic techniques of using Lie algebraic concepts to explore the domain of nonlinear integrable systems. This book begins by establishing a practical basis in Lie algebra, including discussions of structure Lie, loop, and Virasor groups, quantum tori and Kac-Moody algebras, and gradation.

Presents a range of topics on the non-geometrical aspects of design theory. This work contains papers that cover developments in areas such as difference sets, cryptography, and optimal linear codes. It features discussions of design theory and the application of the theory to statistical design, codes and cryptography.

Presents recent advances in the solution of partial differential equations in porous media, with applications. Starting from the fundamental solution for flow through porous media, the text provides information on solving for pressure distributions for a wide range of initial-boundary problems.

The aim of this work is to apply variational methods, and critical point theory on infinite dimensional manifolds, to some problems in Lorentzian geometry which have a variational nature. In particular Ljusternik-Schnirelmann critical point theory and Morse theory are exploited.

This text contains seven main sections covering topics such as: random Dubins-Freedman related distribution functions, random conservative cascades; random self-similar sets and measures; and random geometrically graph directed self-similar sets and measures.

This text provides a unifying approach to the valuation of different kinds of options, arranged so it presents a natural transition from the theory of optimal stopping problems to the valuation of options. The book also introduces generalized optimal stopping problems.

Presents many recent results and methods which are of fundamental importance in theoretical fluid mechanics, particularly in the field of Navier-Stokes equations. It should be of use to researchers and graduate students.

This volume collects the proceedings of conferences given at the University of Metz during the 1992 "Metz Days". Various important topics in partial differential equations are examined: phase transition, evolution problems, bifurcation, stability and parabolic problems.

When a dynamical system has a large number of parameters it is not possible to get a completely comprehensive picture of all the types of behavior that it may display and one must be content with surveying the system along various corridors of lower dimension

Explores the structural aspects of complex Lie groups, beginning with general concepts then moving to the theory of representative functions of Lie groups and the extension problem of representations.

This volume is essentially a self-contained presentation of the theory of reproducing kernels in connection with integral transforms in the framework of Hilbert spaces. It is a general and fundamental concept and a potentially powerful theory combined with the integral transforms.

Explores deformed twistor spaces and their applications. This work traces the development of the twistor programme and provides an overview of its status.

Presents developments in dual integral equations involving various special functions as kernel. This work examines dual integral equations with Bessel, Legendre, and trigonometric functions as kernel plus those involving inverse Mellin transforms.

Introduces a Morse (index) theory that is easier to use, less technical, and flexible than theories for strongly indefinite functionals. This book presents a self-contained treatment with full proofs of the major results and with applications of the theory to Hamiltonian systems and other areas of research.