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Real Methods in Complex and CR Geometry

Real Methods in Complex and CR Geometry PDF Author: John Erik Fornaess
Publisher: Springer Science & Business Media
ISBN: 9783540223580
Category : CR submanifolds
Languages : en
Pages : 236

Book Description


Real Methods in Complex and CR Geometry

Real Methods in Complex and CR Geometry PDF Author: John Erik Fornaess
Publisher: Springer Science & Business Media
ISBN: 9783540223580
Category : CR submanifolds
Languages : en
Pages : 236

Book Description


Viscosity Solutions and Applications

Viscosity Solutions and Applications PDF Author: Martino Bardi
Publisher: Springer
ISBN: 3540690433
Category : Mathematics
Languages : en
Pages : 268

Book Description
The volume comprises five extended surveys on the recent theory of viscosity solutions of fully nonlinear partial differential equations, and some of its most relevant applications to optimal control theory for deterministic and stochastic systems, front propagation, geometric motions and mathematical finance. The volume forms a state-of-the-art reference on the subject of viscosity solutions, and the authors are among the most prominent specialists. Potential readers are researchers in nonlinear PDE's, systems theory, stochastic processes.

Financial Mathematics

Financial Mathematics PDF Author: Bruno Biais
Publisher: Springer
ISBN: 3540683569
Category : Mathematics
Languages : en
Pages : 322

Book Description
Financial Mathematics is an exciting, emerging field of application. The five sets of course notes in this book provide a bird's eye view of the current "state of the art" and directions of research. For graduate students it will therefore serve as an introduction to the field while reseachers will find it a compact source of reference. The reader is expected to have a good knowledge of the basic mathematical tools corresponding to an introductory graduate level and sufficient familiarity with probabilistic methods, in particular stochastic analysis.

Algebraic Cycles and Hodge Theory

Algebraic Cycles and Hodge Theory PDF Author: Mark L. Green
Publisher: Springer
ISBN: 3540490469
Category : Mathematics
Languages : en
Pages : 281

Book Description
The main goal of the CIME Summer School on "Algebraic Cycles and Hodge Theory" has been to gather the most active mathematicians in this area to make the point on the present state of the art. Thus the papers included in the proceedings are surveys and notes on the most important topics of this area of research. They include infinitesimal methods in Hodge theory; algebraic cycles and algebraic aspects of cohomology and k-theory, transcendental methods in the study of algebraic cycles.

Dynamical Systems

Dynamical Systems PDF Author: Ludwig Arnold
Publisher: Springer
ISBN: 3540494154
Category : Mathematics
Languages : en
Pages : 336

Book Description
This volume contains the lecture notes written by the four principal speakers at the C.I.M.E. session on Dynamical Systems held at Montecatini, Italy in June 1994. The goal of the session was to illustrate how methods of dynamical systems can be applied to the study of ordinary and partial differential equations. Topics in random differential equations, singular perturbations, the Conley index theory, and non-linear PDEs were discussed. Readers interested in asymptotic behavior of solutions of ODEs and PDEs and familiar with basic notions of dynamical systems will wish to consult this text.

Phase Transitions and Hysteresis

Phase Transitions and Hysteresis PDF Author: Augusto Visintin
Publisher: Springer
ISBN: 354048678X
Category : Mathematics
Languages : en
Pages : 301

Book Description
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. Some alloys exhibit shape memory effects, corresponding to a stress-strain relation which strongly depends on temperature; mathematical physical aspects are treated in Müller's paper. In a general framework, hysteresis can be described by means of hysteresis operators in Banach spaces of time dependent functions; their properties are studied by Brokate. 3) Numerical analysis. Several models of the phenomena above can be formulated in terms of nonlinear parabolic equations. Here Verdi deals with the most updated approximation techniques.

H -Control Theory

H -Control Theory PDF Author: Edoardo Mosca
Publisher: Springer
ISBN: 3540466045
Category : Mathematics
Languages : en
Pages : 346

Book Description
The fundamental problem in control engineering is to provide robust performance to uncertain plants. H -control theory began in the early eighties as an attempt to lay down rigorous foundations on the classical robust control requirements. It now turns out that H -control theory is at the crossroads of several important directions of research space or polynomial approach to control and classical interpolation theory; harmonic analysis and operator theory; minimax LQ stochastic control and integral equations. The book presents the underlying fundamental ideas, problems and advances through the pen of leading contributors to the field, for graduate students and researchers in both engineering and mathematics. From the Contents: C. Foias: Commutant Lifting Techniques for Computing Optimal H Controllers.- B.A. Francis: Lectures on H Control and Sampled-Data Systems.- J.W. Helton: Two Topics in Systems Engineering Frequency Domain Design and Nonlinear System.- H. Kwakernaak: The Polynomial Approach to H -Optimal Regulation.- J.B. Pearson: A Short Course in l - Optimal Control

Methods of Nonconvex Analysis

Methods of Nonconvex Analysis PDF Author: Arrigo Cellina
Publisher: Springer
ISBN: 3540467157
Category : Mathematics
Languages : en
Pages : 214

Book Description


Calculus of Variations and Geometric Evolution Problems

Calculus of Variations and Geometric Evolution Problems PDF Author: F. Bethuel
Publisher: Springer
ISBN: 3540488138
Category : Mathematics
Languages : en
Pages : 299

Book Description
The international summer school on Calculus of Variations and Geometric Evolution Problems was held at Cetraro, Italy, 1996. The contributions to this volume reflect quite closely the lectures given at Cetraro which have provided an image of a fairly broad field in analysis where in recent years we have seen many important contributions. Among the topics treated in the courses were variational methods for Ginzburg-Landau equations, variational models for microstructure and phase transitions, a variational treatment of the Plateau problem for surfaces of prescribed mean curvature in Riemannian manifolds - both from the classical point of view and in the setting of geometric measure theory.

D-modules, Representation Theory, and Quantum Groups

D-modules, Representation Theory, and Quantum Groups PDF Author: Louis Boutet de Monvel
Publisher: Springer
ISBN: 3540481958
Category : Mathematics
Languages : en
Pages : 226

Book Description
CONTENTS: L. Boutet de Monvel: Indice de systemes differentiels.- C. De Concini, C. Procesi: Quantum groups.- P. Schapira, J.P. Schneiders: Index theorems for R-constructible sheaves and for D-modules.- N. Berline, M. Vergne: The equivariant Chern character and index of G-invariant operators.