Bücher der Reihe Chapman & Hall/CRC Research Notes in Mathematics Series

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.

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.

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.

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.

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.

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.

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

Offers a survey of developments in inverse acoustic and electromagnetic scattering theory. This book uses point sources combined with several far-reaching techniques to obtain qualitative reconstruction methods while addressing questions of uniqueness, stability, and reconstructions for both two-and three-dimensional problems.

Focuses on the boundary problems of some theories of non-classical elastic bodies. Examples to illustrate the theory are given throughout the text. It should be of interest to mathematicians, physicists and specialists working in civil engineering and geophysics.

Comprises the Proceedings from the 1998 International Mathematical Congress. This work discusses applications including fluid dynamics, semiconductor technology, image analysis, motion analysis and optimal control.

This volume represents the proceedings of the summer course on Mathematical Topics in Fluid Mechanics, held in Lisbon, in September 1991. Amongst the topics covered are mathematical problems arising in differential models for viscoelastic fluids and shock waves in resonant dispersion media.