Solutions Fondamentales Dequations Aux Derivees Partielles De Type Parabolique A Coefficients Constants Par Morceaux

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SOLUTIONS FONDAMENTALES D'EQUATIONS AUX DERIVEES PARTIELLES DE TYPE PARABOLIQUE A COEFFICIENTS CONSTANTS PAR MORCEAUX

Author : MOUNIR.. ZILI
Publisher :
ISBN 13 :
Total Pages : 194 pages
Book Rating : 4.:/5 (49 download)

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Book Synopsis SOLUTIONS FONDAMENTALES D'EQUATIONS AUX DERIVEES PARTIELLES DE TYPE PARABOLIQUE A COEFFICIENTS CONSTANTS PAR MORCEAUX by : MOUNIR.. ZILI

Download or read book SOLUTIONS FONDAMENTALES D'EQUATIONS AUX DERIVEES PARTIELLES DE TYPE PARABOLIQUE A COEFFICIENTS CONSTANTS PAR MORCEAUX written by MOUNIR.. ZILI and published by . This book was released on 1996 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: L'OBJECTIF DE CETTE THESE EST DE DONNER DES RESOLUTIONS EXPLICITES D'UN CERTAIN NOMBRE D'EQUATIONS AUX DERIVEES PARTIELLES DE TYPE PARABOLIQUES A COEFFICIENTS CONSTANTS PAR MORCEAUX, QUI INTERVIENNENT DANS DE NOMBREUX PROBLEMES PHYSIQUES OU D'INGENIERIE. DANS LA PREMIERE PARTIE, ON DEMONTRE L'EXISTENCE, PAR DES METHODES STOCHASTIQUES, D'UN DEVELOPPEMENT ASYMPTOTIQUE EN TEMPS PETITS DE LA SOLUTION D'UNE EQUATION AUX DERIVEES PARTIELLES GENERALISEE AU SENS DES DISTRIBUTIONS-MESURES DU TYPE PARABOLIQUE. PUIS ON ETUDIE UNE GENERALISATION DU CAS PRECEDENT APRES INTRODUCTION D'UN DRIFT. ON PRESENTE UNE CONSTRUCTION DE LA SOLUTION PAR UNE METHODE DITE PARAMETRIQUE, ET NOUS EN DONNONS UNE EXPRESSION EXPLICITE. DANS LA DEUXIEME PARTIE DE LA THESE, ON MONTRE L'UNICITE FORTE DES SOLUTIONS D'UNE EQUATION DIFFERENTIELLE STOCHASTIQUE AVEC UN DRIFT SINGULIER DEPENDANT DU TEMPS EN DIMENSION FINIE SUPERIEUR OU EGALE A UN.

Sur les équations aux dérivées partielles du type parabolique

Author : Maurice Gevrey
Publisher :
ISBN 13 :
Total Pages : 238 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Sur les équations aux dérivées partielles du type parabolique by : Maurice Gevrey

Download or read book Sur les équations aux dérivées partielles du type parabolique written by Maurice Gevrey and published by . This book was released on 1913 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Analysis of Mixed Fractional Gaussian Processes

Author : Yuliya Mishura
Publisher : Elsevier
ISBN 13 : 0081023634
Total Pages : 212 pages
Book Rating : 4.0/5 (81 download)

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Book Synopsis Stochastic Analysis of Mixed Fractional Gaussian Processes by : Yuliya Mishura

Download or read book Stochastic Analysis of Mixed Fractional Gaussian Processes written by Yuliya Mishura and published by Elsevier. This book was released on 2018-05-26 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Analysis of Mixed Fractional Gaussian Processes presents the main tools necessary to characterize Gaussian processes. The book focuses on the particular case of the linear combination of independent fractional and sub-fractional Brownian motions with different Hurst indices. Stochastic integration with respect to these processes is considered, as is the study of the existence and uniqueness of solutions of related SDE's. Applications in finance and statistics are also explored, with each chapter supplying a number of exercises to illustrate key concepts. Presents both mixed fractional and sub-fractional Brownian motions Provides an accessible description for mixed fractional gaussian processes that is ideal for Master's and PhD students Includes different Hurst indices

Stochastic Differential Equations and Processes

Author : Mounir Zili
Publisher : Springer Science & Business Media
ISBN 13 : 3642223680
Total Pages : 273 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Stochastic Differential Equations and Processes by : Mounir Zili

Download or read book Stochastic Differential Equations and Processes written by Mounir Zili and published by Springer Science & Business Media. This book was released on 2011-09-24 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected papers submitted by participants of the international Conference “Stochastic Analysis and Applied Probability 2010” ( www.saap2010.org ) make up the basis of this volume. The SAAP 2010 was held in Tunisia, from 7-9 October, 2010, and was organized by the “Applied Mathematics & Mathematical Physics” research unit of the preparatory institute to the military academies of Sousse (Tunisia), chaired by Mounir Zili. The papers cover theoretical, numerical and applied aspects of stochastic processes and stochastic differential equations. The study of such topic is motivated in part by the need to model, understand, forecast and control the behavior of many natural phenomena that evolve in time in a random way. Such phenomena appear in the fields of finance, telecommunications, economics, biology, geology, demography, physics, chemistry, signal processing and modern control theory, to mention just a few. As this book emphasizes the importance of numerical and theoretical studies of the stochastic differential equations and stochastic processes, it will be useful for a wide spectrum of researchers in applied probability, stochastic numerical and theoretical analysis and statistics, as well as for graduate students. To make it more complete and accessible for graduate students, practitioners and researchers, the editors Mounir Zili and Daria Filatova have included a survey dedicated to the basic concepts of numerical analysis of the stochastic differential equations, written by Henri Schurz.

The Number System

Author : H. A. Thurston
Publisher : Courier Corporation
ISBN 13 : 0486154947
Total Pages : 146 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis The Number System by : H. A. Thurston

Download or read book The Number System written by H. A. Thurston and published by Courier Corporation. This book was released on 2012-10-23 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores arithmetic's underlying concepts and their logical development, in addition to a detailed, systematic construction of the number systems of rational, real, and complex numbers. 1956 edition.

Analysis of Stochastic Partial Differential Equations

Author : Davar Khoshnevisan
Publisher : American Mathematical Soc.
ISBN 13 : 147041547X
Total Pages : 127 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Analysis of Stochastic Partial Differential Equations by : Davar Khoshnevisan

Download or read book Analysis of Stochastic Partial Differential Equations written by Davar Khoshnevisan and published by American Mathematical Soc.. This book was released on 2014-06-11 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general area of stochastic PDEs is interesting to mathematicians because it contains an enormous number of challenging open problems. There is also a great deal of interest in this topic because it has deep applications in disciplines that range from applied mathematics, statistical mechanics, and theoretical physics, to theoretical neuroscience, theory of complex chemical reactions [including polymer science], fluid dynamics, and mathematical finance. The stochastic PDEs that are studied in this book are similar to the familiar PDE for heat in a thin rod, but with the additional restriction that the external forcing density is a two-parameter stochastic process, or what is more commonly the case, the forcing is a "random noise," also known as a "generalized random field." At several points in the lectures, there are examples that highlight the phenomenon that stochastic PDEs are not a subset of PDEs. In fact, the introduction of noise in some partial differential equations can bring about not a small perturbation, but truly fundamental changes to the system that the underlying PDE is attempting to describe. The topics covered include a brief introduction to the stochastic heat equation, structure theory for the linear stochastic heat equation, and an in-depth look at intermittency properties of the solution to semilinear stochastic heat equations. Specific topics include stochastic integrals à la Norbert Wiener, an infinite-dimensional Itô-type stochastic integral, an example of a parabolic Anderson model, and intermittency fronts. There are many possible approaches to stochastic PDEs. The selection of topics and techniques presented here are informed by the guiding example of the stochastic heat equation. A co-publication of the AMS and CBMS.

Singularities in Boundary Value Problems

Author : Pierre Grisvard
Publisher : Springer
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Singularities in Boundary Value Problems by : Pierre Grisvard

Download or read book Singularities in Boundary Value Problems written by Pierre Grisvard and published by Springer. This book was released on 1992 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Minicourse on Stochastic Partial Differential Equations

Author : Robert C. Dalang
Publisher : Springer Science & Business Media
ISBN 13 : 3540859934
Total Pages : 230 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis A Minicourse on Stochastic Partial Differential Equations by : Robert C. Dalang

Download or read book A Minicourse on Stochastic Partial Differential Equations written by Robert C. Dalang and published by Springer Science & Business Media. This book was released on 2009 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title contains lectures that offer an introduction to modern topics in stochastic partial differential equations and bring together experts whose research is centered on the interface between Gaussian analysis, stochastic analysis, and stochastic PDEs.

Fractional Brownian Motion

Author : Oksana Banna
Publisher : John Wiley & Sons
ISBN 13 : 1786302608
Total Pages : 288 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Fractional Brownian Motion by : Oksana Banna

Download or read book Fractional Brownian Motion written by Oksana Banna and published by John Wiley & Sons. This book was released on 2019-04-30 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph studies the relationships between fractional Brownian motion (fBm) and other processes of more simple form. In particular, this book solves the problem of the projection of fBm onto the space of Gaussian martingales that can be represented as Wiener integrals with respect to a Wiener process. It is proved that there exists a unique martingale closest to fBm in the uniform integral norm. Numerical results concerning the approximation problem are given. The upper bounds of distances from fBm to the different subspaces of Gaussian martingales are evaluated and the numerical calculations are involved. The approximations of fBm by a uniformly convergent series of Lebesgue integrals, semimartingales and absolutely continuous processes are presented. As auxiliary but interesting results, the bounds from below and from above for the coefficient appearing in the representation of fBm via the Wiener process are established and some new inequalities for Gamma functions, and even for trigonometric functions, are obtained.

Lectures on Representations of Surface Groups

Author : François Labourie
Publisher :
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Lectures on Representations of Surface Groups by : François Labourie

Download or read book Lectures on Representations of Surface Groups written by François Labourie and published by . This book was released on 2013 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of these notes is the character variety of representations of a surface group in a Lie group. The author emphasizes the various points of view (combinatorial, differential, and algebraic) and is interested in the description of its smooth points, symplectic structure, volume and connected components. He also shows how a three manifold bounded by the surface leaves a trace in this character variety. These notes were originally designed for students with only elementary knowledge of differential geometry and topology. In the first chapters, the author does not focus on the details of the differential geometric constructions and refers to classical textbooks, while in the more advanced chapters proofs occasionally are provided only for special cases where they convey the flavor of the general arguments. These notes might also be used by researchers entering this fast expanding field as motivation for further studies. The concluding paragraph of every chapter provides suggestions for further research.

Methods of the Theory of Generalized Functions

Author : V. S. Vladimirov
Publisher : CRC Press
ISBN 13 : 9780415273565
Total Pages : 332 pages
Book Rating : 4.2/5 (735 download)

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Book Synopsis Methods of the Theory of Generalized Functions by : V. S. Vladimirov

Download or read book Methods of the Theory of Generalized Functions written by V. S. Vladimirov and published by CRC Press. This book was released on 2002-08-15 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the general theory of generalized functions, including the Fourier, Laplace, Mellin, Hilbert, Cauchy-Bochner and Poisson integral transforms and operational calculus, with the traditional material augmented by the theory of Fourier series, abelian theorems, and boundary values of helomorphic functions for one and several variables. The author addresses several facets in depth, including convolution theory, convolution algebras and convolution equations in them, homogenous generalized functions, and multiplication of generalized functions. This book will meet the needs of researchers, engineers, and students of applied mathematics, control theory, and the engineering sciences.

Sampling in Combinatorial and Geometric Set Systems

Author : Nabil H. Mustafa
Publisher : American Mathematical Society
ISBN 13 : 1470461560
Total Pages : 251 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Sampling in Combinatorial and Geometric Set Systems by : Nabil H. Mustafa

Download or read book Sampling in Combinatorial and Geometric Set Systems written by Nabil H. Mustafa and published by American Mathematical Society. This book was released on 2022-01-14 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding the behavior of basic sampling techniques and intrinsic geometric attributes of data is an invaluable skill that is in high demand for both graduate students and researchers in mathematics, machine learning, and theoretical computer science. The last ten years have seen significant progress in this area, with many open problems having been resolved during this time. These include optimal lower bounds for epsilon-nets for many geometric set systems, the use of shallow-cell complexity to unify proofs, simpler and more efficient algorithms, and the use of epsilon-approximations for construction of coresets, to name a few. This book presents a thorough treatment of these probabilistic, combinatorial, and geometric methods, as well as their combinatorial and algorithmic applications. It also revisits classical results, but with new and more elegant proofs. While mathematical maturity will certainly help in appreciating the ideas presented here, only a basic familiarity with discrete mathematics, probability, and combinatorics is required to understand the material.

The Algebra of Logic

Author : Louis Couturat
Publisher :
ISBN 13 :
Total Pages : 124 pages
Book Rating : 4.:/5 (34 download)

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Book Synopsis The Algebra of Logic by : Louis Couturat

Download or read book The Algebra of Logic written by Louis Couturat and published by . This book was released on 1911 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Adeles and Algebraic Groups

Author : A. Weil
Publisher : Springer Science & Business Media
ISBN 13 : 1468491563
Total Pages : 137 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Adeles and Algebraic Groups by : A. Weil

Download or read book Adeles and Algebraic Groups written by A. Weil and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the original lecture notes presented by A. Weil in which the concept of adeles was first introduced, in conjunction with various aspects of C.L. Siegel’s work on quadratic forms. Serving as an introduction to the subject, these notes may also provide stimulation for further research.

The Classical Groups

Author : Hermann Weyl
Publisher :
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The Classical Groups by : Hermann Weyl

Download or read book The Classical Groups written by Hermann Weyl and published by . This book was released on 1946 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this renowned volume, Hermann Weyl discusses the symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and representations. Using basic concepts from algebra, he examines the various properties of the groups. Analysis and topology are used wherever appropriate. The book also covers topics such as matrix algebras, semigroups, commutators, and spinors, which are of great importance in understanding the group-theoretic structure of quantum mechanics. Hermann Weyl was among the greatest mathematicians of the twentieth century. He made fundamental contributions to most branches of mathematics, but he is best remembered as one of the major developers of group theory, a powerful formal method for analyzing abstract and physical systems in which symmetry is present. In The Classical Groups, his most important book, Weyl provided a detailed introduction to the development of group theory, and he did it in a way that motivated and entertained his readers. Departing from most theoretical mathematics books of the time, he introduced historical events and people as well as theorems and proofs. One learned not only about the theory of invariants but also when and where they were originated, and by whom. He once said of his writing, "My work always tried to unite the truth with the beautiful, but when I had to choose one or the other, I usually chose the beautiful." Weyl believed in the overall unity of mathematics and that it should be integrated into other fields. He had serious interest in modern physics, especially quantum mechanics, a field to which The Classical Groups has proved important, as it has to quantum chemistry and other fields. Among the five books Weyl published with Princeton, Algebraic Theory of Numbers inaugurated the Annals of Mathematics Studies book series, a crucial and enduring foundation of Princeton's mathematics list and the most distinguished book series in mathematics.

Random Trees

Author : Michael Drmota
Publisher : Springer Science & Business Media
ISBN 13 : 3211753575
Total Pages : 466 pages
Book Rating : 4.2/5 (117 download)

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Book Synopsis Random Trees by : Michael Drmota

Download or read book Random Trees written by Michael Drmota and published by Springer Science & Business Media. This book was released on 2009-04-16 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide a thorough introduction to various aspects of trees in random settings and a systematic treatment of the mathematical analysis techniques involved. It should serve as a reference book as well as a basis for future research.

Water Flow and Solute Transport in Soils

Author : David Russo
Publisher : Springer Science & Business Media
ISBN 13 : 3642779476
Total Pages : 323 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Water Flow and Solute Transport in Soils by : David Russo

Download or read book Water Flow and Solute Transport in Soils written by David Russo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: A year has passed since Eshel Bresler, my good friend and colleague, and a member of the editorial board of the Advanced Series in Agricultural Sciences, died suddenly while on a visit to the Chinese Academy of Sciences in Beijing. We had worked together for almost 30 years at the Institute of Soils and Water, ARO, The Volcani Center at Bet Dagan. At the very beginning of our scientific careers we cooperated directly and as a result one of our first publications was coauthored (Soil Sci. 101:205-209, 1966). Thereafter, our specific research interests diver sified, but we continued to work together, with similar approaches to research, and to strive towards the development of Israel soil science and its integration into general worldwide scientific progress. I don't need to emphasize Eshel's contribution to the understan ding of the processes governing water flow and solute transport pro cesses in soils and unsaturated zones. The contributions to this Volume by such a body of outstanding scientists shows the apprecia tion of the international scientific community to his research achievements.