Narrow your search

Library

Hogeschool West-Vlaanderen (7)

KU Leuven (7)

LUCA School of Arts (7)

Odisee (7)

Thomas More Kempen (7)

Thomas More Mechelen (7)

UCLL (7)

ULB (7)

ULiège (7)

VIVES (7)


Resource type

book (7)


Language

English (7)


Year
From To Submit

2009 (7)

Listing 1 - 7 of 7
Sort by

Book
Growth Theory of Subharmonic Functions
Author:
ISBN: 3764388854 3764388862 Year: 2009 Publisher: Basel : Birkhäuser Basel : Imprint: Birkhäuser,

Loading...
Export citation

Choose an application

Bookmark

Abstract

In this book an account of the growth theory of subharmonic functions is given, which is directed towards its applications to entire functions of one and several complex variables. The presentation aims at converting the noble art of constructing an entire function with prescribed asymptotic behaviour to a handicraft. For this one should only construct the limit set that describes the asymptotic behaviour of the entire function. All necessary material is developed within the book, hence it will be most useful as a reference book for the construction of entire functions.


Book
Potential analysis of stable processes and its extensions
Authors: --- ---
ISBN: 3642021409 9786612655791 1282655795 3642021417 Year: 2009 Publisher: Berlin, Germany : Springer,

Loading...
Export citation

Choose an application

Bookmark

Abstract

Stable Lévy processes and related stochastic processes play an important role in stochastic modelling in applied sciences, in particular in financial mathematics. This book is about the potential theory of stable stochastic processes. It also deals with related topics, such as the subordinate Brownian motions (including the relativistic process) and Feynman–Kac semigroups generated by certain Schroedinger operators. The authors focus on classes of stable and related processes that contain the Brownian motion as a special case. This is the first book devoted to the probabilistic potential theory of stable stochastic processes, and, from the analytical point of view, of the fractional Laplacian. The introduction is accessible to non-specialists and provides a general presentation of the fundamental objects of the theory. Besides recent and deep scientific results the book also provides a didactic approach to its topic, as all chapters have been tested on a wide audience, including young mathematicians at a CNRS/HARP Workshop, Angers 2006. The reader will gain insight into the modern theory of stable and related processes and their potential analysis with a theoretical motivation for the study of their fine properties.


Book
Potential Theory
Author:
ISBN: 1848823185 9786613562159 1280384239 1848823193 Year: 2009 Publisher: London : Springer London : Imprint: Springer,

Loading...
Export citation

Choose an application

Bookmark

Abstract

Aimed at graduate students and researchers in mathematics, physics, and engineering, this book presents a clear path from calculus to classical potential theory and beyond, moving the reader into a fertile area of mathematical research as quickly as possible. The author revises and updates material from his classic work, Introduction to Potential Theory (1969), to provide a modern text that introduces all the important concepts of classical potential theory. In the first half of the book, the subject matter is developed meticulously from first principles using only calculus. Commencing with the inverse square law for gravitational and electromagnetic forces and the divergence theorem of the calculus, the author develops methods for constructing solutions of Laplace’s equation on a region with prescribed values on the boundary of the region. The second half addresses more advanced material aimed at those with a background of a senior undergraduate or beginning graduate course in real analysis. For specialized regions, namely spherical chips, solutions of Laplace’s equation are constructed having prescribed normal derivatives on the flat portion of the boundary and prescribed values on the remaining portion of the boundary. By means of transformations known as diffeomorphisms, these solutions are morphed into local solutions on regions with curved boundaries. The Perron-Weiner-Brelot method is then used to construct global solutions for elliptic partial differential equations involving a mixture of prescribed values of a boundary differential operator on part of the boundary and prescribed values on the remainder of the boundary.


Book
Hyperbolic Partial Differential Equations
Author:
ISBN: 038787822X 9786612292637 1282292633 0387878238 Year: 2009 Publisher: New York, NY : Springer New York : Imprint: Springer,

Loading...
Export citation

Choose an application

Bookmark

Abstract

Serge Alinhac (1948–) received his PhD from l'Université Paris-Sud XI (Orsay). After teaching at l'Université Paris Diderot VII and Purdue University, he has been a professor of mathematics at l'Université Paris-Sud XI (Orsay) since 1978. He is the author of Blowup for Nonlinear Hyperbolic Equations (Birkhäuser, 1995) and Pseudo-differential Operators and the Nash–Moser Theorem (with P. Gérard, American Mathematical Society, 2007). His primary areas of research are linear and nonlinear partial differential equations. This excellent introduction to hyperbolic differential equations is devoted to linear equations and symmetric systems, as well as conservation laws. The book is divided into two parts. The first, which is intuitive and easy to visualize, includes all aspects of the theory involving vector fields and integral curves; the second describes the wave equation and its perturbations for two- or three-space dimensions. Over 100 exercises are included, as well as "do it yourself" instructions for the proofs of many theorems. Only an understanding of differential calculus is required. Notes at the end of the self-contained chapters, as well as references at the end of the book, enable ease-of-use for both the student and the independent researcher.


Book
Mathematical Modeling in Biomedical Imaging I : Electrical and Ultrasound Tomographies, Anomaly Detection, and Brain Imaging
Author:
ISBN: 3642034438 3642034446 Year: 2009 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,

Loading...
Export citation

Choose an application

Bookmark

Abstract

This volume gives an introduction to a fascinating research area to applied mathematicians. It is devoted to providing the exposition of promising analytical and numerical techniques for solving challenging biomedical imaging problems, which trigger the investigation of interesting issues in various branches of mathematics.

Keywords

Biomedical engineering --- Electrical impedance tomography --- Imaging systems in medicine --- Diagnostic Imaging --- Tomography --- Electronics, Medical --- Models, Theoretical --- Electric Impedance --- Diagnostic Techniques and Procedures --- Investigative Techniques --- Electric Conductivity --- Electronics --- Electricity --- Physics --- Analytical, Diagnostic and Therapeutic Techniques and Equipment --- Diagnosis --- Electromagnetic Phenomena --- Natural Science Disciplines --- Physical Phenomena --- Disciplines and Occupations --- Phenomena and Processes --- Biology - General --- Biomedical Engineering --- Health & Biological Sciences --- Biology --- Mathematical models --- Electrical impedance tomography. --- Mathematical models. --- Applied potential tomography --- Electrical impedance imaging --- Clinical engineering --- Medical engineering --- Mathematics. --- Radiology. --- Differential equations. --- Partial differential equations. --- Potential theory (Mathematics). --- Biomathematics. --- Mathematical and Computational Biology. --- Potential Theory. --- Ordinary Differential Equations. --- Partial Differential Equations. --- Imaging / Radiology. --- Mathematics --- Green's operators --- Green's theorem --- Potential functions (Mathematics) --- Potential, Theory of --- Mathematical analysis --- Mechanics --- Partial differential equations --- 517.91 Differential equations --- Differential equations --- Radiological physics --- Radiation --- Math --- Science --- Bioengineering --- Biophysics --- Engineering --- Medicine --- Differential Equations. --- Differential equations, partial. --- Radiology, Medical. --- Clinical radiology --- Radiology, Medical --- Radiology (Medicine) --- Medical physics


Book
Variational Analysis and Aerospace Engineering
Authors: --- ---
ISBN: 0387958568 0387958576 Year: 2009 Publisher: New York, NY : Springer New York : Imprint: Springer,

Loading...
Export citation

Choose an application

Bookmark

Abstract

This proceedings volume consists of papers presented at the Variational Analysis and Aerospace Engineering conference held in Erice, Italy in September 2007 at the International School of Mathematics, Guido Stampacchia. The workshop provided a platform for aerospace engineers and mathematicians (from universities, research centers and industry) to discuss the advanced problems requiring an extensive application of mathematics. Important mathematical methods have been developed and extensively applied in the field of aerospace engineering. Topics and contributions at the workshop concentrated on the most advanced mathematical methods in engineering such as computational fluid dynamics methods, the introduction of new materials, theory of optimization, optimization methods applied in aerodynamics, theory of structures, space missions, flight mechanics, theories of control, algebraic geometry for CAD applications, and variational methods and applications. Advanced graduate students, researchers, and professionals in mathematics and engineering will find this volume useful. This work is dedicated to Professor Angelo Miele, an eminent mathematician and engineer, on the occasion of his 85th birthday.


Book
Generalized Convexity and Vector Optimization
Authors: --- --- --- ---
ISBN: 3540856706 3642099300 9786611955267 1281955264 3540856714 Year: 2009 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,

Loading...
Export citation

Choose an application

Bookmark

Abstract

The present book discusses the Kuhn-Tucker Optimality, Karush-Kuhn-Tucker Necessary and Sufficient Optimality Conditions in presence of various types of generalized convexity assumptions. Wolfe-type Duality, Mond-Weir type Duality, Mixed type Duality for Multiobjective optimization problems such as Nonlinear programming problems, Fractional programming problems, Nonsmooth programming problems, Nondifferentiable programming problems, Variational and Control problems under various types of generalized convexity assumptions.

Listing 1 - 7 of 7
Sort by