Bøger i Lecture Notes in Mathematics serien

The study of complementarity problems is now an interestingmathematical subject with many applications in optimization,game theory, stochastic optimal control, engineering,economics etc.

Tani: Evolution free boundary problemfor equations of motion of viscous compressible barotropicliquid.- W. Miyakawa:On some coerciveestimates for the Stokes problem in unbounded domains.- R. v.Wahl:Decomposition of solenoidal fields into poloidal fields,toroidal fields and the mean flow.

The number field sieve is an algorithm for finding the prime factors of large integers. Proposed by John Pollard in 1988, the method was used in 1990 to factor the ninth Fermat number, a 155-digit integer.

This book is an introduction to main methods and principalresults in the theory of Co(remark: o is upperindex!!)-small perturbations of dynamical systems.

In three chapters on Exponential Martingales, BMO-martingales, and Exponential of BMO, this book explains in detail the beautiful properties of continuous exponential martingales that play an essential role in various questions concerning the absolute continuity of probability laws of stochastic processes.

1) Phase Transitions, represented by generalizations of the classical Stefan problem. This is studied by Kenmochi and Rodrigues by means of variational techniques. 2) Hysteresis Phenomena. In a general framework, hysteresis can be described by means of hysteresis operators in Banach spaces of time dependent functions;

The book's main concern is automorphisms of Riemann surfaces, giving a foundational treatment from the point of view of Galois coverings, and treating the problem of the largest automorphism group for a Riemann surface of a given genus.

The book is a fairly complete and up-to-date survey of projectivity and its generalizations in the class of Boolean algebras. Although algebra adds its own methods and questions, many of the results presented were first proved by topologists in the more general setting of (not necessarily zero-dimensional) compact spaces.

This book contributes to the mathematical theory of systems of differential equations consisting of the partial differential equations resulting from conservation of mass and momentum, and of constitutive equations with internal variables.

Rickard's Morita theory for derived module categories and its recent applications in representation theory of finite groups. In particular, Broue's conjecture is discussed, giving a structural explanation for relations between the p-modular character table of a finite group and that of its "p-local structure".

In image processing, "motions by curvature" provide an efficient way to smooth curves representing the boundaries of objects. In such a motion, each point of the curve moves, at any instant, with a normal velocity equal to a function of the curvature at this point.

Lectures Delivered at the University of California at Berkeley 1961

This book offers the revised and completed notes of lectures given at the 2007 conference, "Quantum Potential Theory: Structures and Applications to Physics." These lectures provide an introduction to the theory and discuss various applications.

A classical problem in the calculus of variations is the investigation of critical points of functionals {cal L on normed spaces V. This work addresses the question: Under what conditions on the functional {cal L and the underlying space V does {cal L have at most one critical point.

This volume deals with various topics around equivariant holomorphic maps of Hermitian symmetric domains and is intended for specialists in number theory and algebraic geometry. The main goal is to explore connections among complex torus bundles, mixed automorphic forms, and Jacobi forms associated to an equivariant holomorphic map.

This volume is a survey/monograph on the recently developed theory of forward-backward stochastic differential equations (FBSDEs). The volume is suitable for readers with basic knowledge of stochastic differential equations, and some exposure to the stochastic control theory and PDEs.

This is the first book to present a model, based on rational mechanics of electrorheological fluids, that takes into account the complex interactions between the electromagnetic fields and the moving liquid. Existence results for elliptic systems with non-standard growth conditions and with a nontrivial nonlinear r.h.s.

Due to the rapidly increasing need for methods of data compression, quantization has become a flourishing field in signal and image processing and information theory.

There has recently been a renewal of interest in Fokker-Planck operators, motivated by problems in statistical physics, in kinetic equations, and differential geometry. Compared to more standard problems in the spectral theory of partial differential operators, those operators are not self-adjoint and only hypoelliptic. The aim of the analysis is to give, as generally as possible, an accurate qualitative and quantitative description of the exponential return to the thermodynamical equilibrium. While exploring and improving recent results in this direction, this volume proposes a review of known techniques on: the hypoellipticity of polynomial of vector fields and its global counterpart, the global Weyl-Hörmander pseudo-differential calculus, the spectral theory of non-self-adjoint operators, the semi-classical analysis of Schrödinger-type operators, the Witten complexes, and the Morse inequalities.

Stable Levy processes and related stochastic processes play an important role in stochastic modelling in applied sciences, in particular in financial mathematics.

This book covers basic properties of complex reflection groups, such as characterization, Steinberg theorem, Gutkin-Opdam matrices, Solomon theorem and applications, including the basic findings of Springer theory on eigenspaces.

This volume mainly deals with the dynamics of finitely valued sequences, and more specifically, of sequences generated by substitutions and automata. Many readers will benefit from the introductory chapters on the spectral theory of dynamical systems.

The book deals with linear time-invariant delay-differential equations with commensurated point delays in a control-theoretic context. The aim is to show that with a suitable algebraic setting a behavioral theory for dynamical systems described by such equations can be developed.