Bøger i Chapman & Hall/CRC Research Notes in Mathematics Series serien

This text is devoted to the study of variational problems which can be formulated as the minimization of some possibly nonconvex and noncoercive functionals on a possibly nonconvex set. Additional results and possible prospects concerning the field of nonvariational problems are also considered.

This volume consists of four contributions, based on a series of lectures delivered at the Fourth Winter School in Mathematical Theory and Fluid Mechanics in 1995. Various topics in the field of theoretical fluid mechanics are covered.

In order to use the ideas from hyperbolic sets in modelling, it is necessary to reconsider the definition of hyperbolicity for the case of noninvertible mappings. This text provides information on current results and theorems on hyperbolicity, shadowing and other topics.

This text presents a complete treatment of the connection between topological generalized quadrangles and topological circle planes. This connection is used to solve a topological version of the problem of Appolonius.

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.

This report presents a survey of iterative methods for the solution of large linear systems of algebraic equations. In particular, it focuses on systems derived as discrete counterparts to partial differential equations.

This presentation covers known and new results on extending modules and related notions. An extending module is a module for which every submodule is essential in a direct summand. Semisimple modules, uniform modules and injective modules are examples of extending modules.

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.

Second 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 include a theoretical treatment of solvability to numerical procedures, and solid-solid phase transition.

This text considers harmonic maps in homogeneous spaces and includes chapters on homogeneous geometry, f-structures and f-holomorphic maps, equi-harmonic maps, classification of horizontal f-structures on flag manifolds and integrable f-holomorphic orbits on flags.

Presents the theory of growth and continuity envelopes in function spaces. This book includes various concepts that originate from the classical result of the Sobolev embedding theorem, ubiquitous in various areas of functional analysis. It discusses classical spaces, such as Lebesgue and Lorentz, and defines growth and continuity envelopes.

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.

Presents concepts and basic tools that are needed to explore and exploit the wide-ranging applicability of the quantum integrable systems. This book discusses the applications of integrable systems in statistical mechanics and mathematical physics.

Addresses several pivotal problems in spectral theory and nonlinear functional analysis in connection with the analysis of the structure set of zeroes of a general class of nonlinear operators.

Reveals a deep link between the fields of several complex variables theory and Clifford analysis. This book changes the general viewpoint on the methods and ideas of several complex variables theory.

Offers an account of the graph dynamics system SER (Scheduling by Edge Reversal). This book discusses the main applications and properties of SER, provides data from statistics and correlations computed over several graph classes, and gives an overview of the algorithmic aspects of the construction of the catalogue.

Inverse problems arise in many disciplines and are vital to a range of applications. This volume includes ten works on theoretical aspects of inverse problems and six on numerical simulation. It addresses applications that include magnetostatics, memory reconstruction, and tomo-electrocardiography.

Comprising a selection of expository and research papers, this volume is from presentations offered at the July 1998 Summer University of Safi, Morocco-an annual, advanced research school and congress. It presents important advances in the fields of Radon transforms, integral geometry, and harmonic analysis on Lie groups and symmetric spaces.

Compiles papers on the topics of wave propagation, scattering, applied mathematics, and partial differential equations. This title includes articles by leading international experts form the body of this work, which grew out of a conference in memory of Ralph E Kleinman. It is interest to both the mathematics and engineering communities.

Based on proceedings of the International Conference on Integral Methods in Science and Engineering, this collection of papers addresses the solution of mathematical problems by integral methods in conjunction with approximation schemes from various physical domains.

Contains part of the refereed proceedings from the international conference on Calculus of Variations and Related Topics held at the Technion-Israel Institute of Technology in 1998. Focusing on the variational aspects of optimal control, it reviews the calculus of variations.

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.

Presents the work and results of experts at the forefront of research in mathematics, material sciences, chemical engineering, biology and physics. This work contains the plenary lectures and contributed papers of the 1997 International Interdisciplinary Congress proceedings held in Crete.

Boundary element methods relate to a wide range of engineering applications. This book illustrates the connections between the modeling of applied problems, the derivation and analysis of corresponding boundary integral equations, and their efficient numerical solutions.

A second collection of articles taken from 10 years of the "Twistor Newsletter", produced at the Mathematics Institute, Oxford. It traces the development of twistor theory, and covers topics such as the hypersurface twistors and Cauchy-Riemann structures.

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.

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.

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 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.

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