Second Order Elliptic Integro Differential Problems

Author : Maria Giovanna Garroni
Publisher : CRC Press
ISBN 13 : 1420035797
Total Pages : 240 pages
Book Rating : 4.97/5 ( download)

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Download or read book Second Order Elliptic Integro-Differential Problems written by Maria Giovanna Garroni and published by CRC Press. This book was released on 2002-02-20 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Green function has played a key role in the analytical approach that in recent years has led to important developments in the study of stochastic processes with jumps. In this Research Note, the authors-both regarded as leading experts in the field- collect several useful results derived from the construction of the Green function and its estim

Author : Xavier Fernández-Real
Publisher : Springer Nature
ISBN 13 : 3031542428
Total Pages : 409 pages
Book Rating : 4.28/5 ( download)

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Download or read book Integro-Differential Elliptic Equations written by Xavier Fernández-Real and published by Springer Nature. This book was released on with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Ya-Zhe Chen
Publisher : American Mathematical Soc.
ISBN 13 : 0821819240
Total Pages : 266 pages
Book Rating : 4.41/5 ( download)

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Download or read book Second Order Elliptic Equations and Elliptic Systems written by Ya-Zhe Chen and published by American Mathematical Soc.. This book was released on 1998 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are two parts to the book. In the first part, a complete introduction of various kinds of a priori estimate methods for the Dirichlet problem of second order elliptic partial differential equations is presented. In the second part, the existence and regularity theories of the Dirichlet problem for linear and nonlinear second order elliptic partial differential systems are introduced. The book features appropriate materials and is an excellent textbook for graduate students. The volume is also useful as a reference source for undergraduate mathematics majors, graduate students, professors, and scientists.

Author : Kazuaki Taira
Publisher : Springer
ISBN 13 : 3662436965
Total Pages : 724 pages
Book Rating : 4.67/5 ( download)

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Download or read book Semigroups, Boundary Value Problems and Markov Processes written by Kazuaki Taira and published by Springer. This book was released on 2014-08-07 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: A careful and accessible exposition of functional analytic methods in stochastic analysis is provided in this book. It focuses on the interrelationship between three subjects in analysis: Markov processes, semi groups and elliptic boundary value problems. The author studies a general class of elliptic boundary value problems for second-order, Waldenfels integro-differential operators in partial differential equations and proves that this class of elliptic boundary value problems provides a general class of Feller semigroups in functional analysis. As an application, the author constructs a general class of Markov processes in probability in which a Markovian particle moves both by jumps and continuously in the state space until it 'dies' at the time when it reaches the set where the particle is definitely absorbed. Augmenting the 1st edition published in 2004, this edition includes four new chapters and eight re-worked and expanded chapters. It is amply illustrated and all chapters are rounded off with Notes and Comments where bibliographical references are primarily discussed. Thanks to the kind feedback from many readers, some errors in the first edition have been corrected. In order to keep the book up-to-date, new references have been added to the bibliography. Researchers and graduate students interested in PDEs, functional analysis and probability will find this volume useful.

Author : Franco Giannessi
Publisher : Springer Science & Business Media
ISBN 13 : 0387242767
Total Pages : 1163 pages
Book Rating : 4.67/5 ( download)

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Download or read book Variational Analysis and Applications written by Franco Giannessi and published by Springer Science & Business Media. This book was released on 2007-03-06 with total page 1163 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Volume contains the (refereed) papers presented at the 38th Conference of the School of Mathematics "G.Stampacchia" of the "E.Majorana" Centre for Scientific Culture of Erice (Sicily), held in Memory ofG. Stampacchia and J.-L. Lions in the period June 20 - July 2003. The presence of participants from Countries has greatly contributed to the success of the meeting. The School of Mathematics was dedicated to Stampacchia, not only for his great mathematical achievements, but also because He founded it. The core of the Conference has been the various features of the Variational Analysis and their motivations and applications to concrete problems. Variational Analysis encompasses a large area of modem Mathematics, such as the classical Calculus of Variations, the theories of perturbation, approximation, subgradient, subderivates, set convergence and Variational Inequalities, and all these topics have been deeply and intensely dealt during the Conference. In particular, Variational Inequalities, which have been initiated by Stampacchia, inspired by Signorini Problem and the related work of G. Fichera, have offered a very great possibility of applications to several fundamental problems of Mathematical Physics, Engineering, Statistics and Economics. The pioneer work of Stampacchia and Lions can be considered as the basic kernel around which Variational Analysis is going to be outlined and constructed. The Conference has dealt with both finite and infinite dimensional analysis, showing that to carry on these two aspects disjointly is unsuitable for both.

Author : Maria Giovanna Garroni
Publisher : Chapman and Hall/CRC
ISBN 13 :
Total Pages : 448 pages
Book Rating : 4.47/5 ( download)

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Download or read book Green Functions for Second Order Parabolic Integro-Differential Problems written by Maria Giovanna Garroni and published by Chapman and Hall/CRC. This book was released on 1992 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Fuensanta Andreu-Vaillo
Publisher : American Mathematical Soc.
ISBN 13 : 0821852302
Total Pages : 274 pages
Book Rating : 4.09/5 ( download)

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Download or read book Nonlocal Diffusion Problems written by Fuensanta Andreu-Vaillo and published by American Mathematical Soc.. This book was released on 2010 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlocal diffusion problems arise in a wide variety of applications, including biology, image processing, particle systems, coagulation models, and mathematical finance. These types of problems are also of great interest for their purely mathematical content. This book presents recent results on nonlocal evolution equations with different boundary conditions, starting with the linear theory and moving to nonlinear cases, including two nonlocal models for the evolution of sandpiles. Both existence and uniqueness of solutions are considered, as well as their asymptotic behaviour. Moreover, the authors present results concerning limits of solutions of the nonlocal equations as a rescaling parameter tends to zero. With these limit procedures the most frequently used diffusion models are recovered: the heat equation, the $p$-Laplacian evolution equation, the porous media equation, the total variation flow, a convection-diffusion equation and the local models for the evolution of sandpiles due to Aronsson-Evans-Wu and Prigozhin. Readers are assumed to be familiar with the basic concepts and techniques of functional analysis and partial differential equations. The text is otherwise self-contained, with the exposition emphasizing an intuitive understanding and results given with full proofs. It is suitable for graduate students or researchers. The authors cover a subject that has received a great deal of attention in recent years. The book is intended as a reference tool for a general audience in analysis and PDEs, including mathematicians, engineers, physicists, biologists, and others interested in nonlocal diffusion problems.

Author : Giovanni Maria Troianiello
Publisher : Springer Science & Business Media
ISBN 13 : 1489936149
Total Pages : 369 pages
Book Rating : 4.41/5 ( download)

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Download or read book Elliptic Differential Equations and Obstacle Problems written by Giovanni Maria Troianiello and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the few years since their appearance in the mid-sixties, variational inequalities have developed to such an extent and so thoroughly that they may now be considered an "institutional" development of the theory of differential equations (with appreciable feedback as will be shown). This book was written in the light of these considerations both in regard to the choice of topics and to their treatment. In short, roughly speaking my intention was to write a book on second-order elliptic operators, with the first half of the book, as might be expected, dedicated to function spaces and to linear theory whereas the second, nonlinear half would deal with variational inequalities and non variational obstacle problems, rather than, for example, with quasilinear or fully nonlinear equations (with a few exceptions to which I shall return later). This approach has led me to omit any mention of "physical" motivations in the wide sense of the term, in spite of their historical and continuing importance in the development of variational inequalities. I here addressed myself to a potential reader more or less aware of the significant role of variational inequalities in numerous fields of applied mathematics who could use an analytic presentation of the fundamental theory, which would be as general and self-contained as possible.

Author : Jinqiao Duan
Publisher : Cambridge University Press
ISBN 13 : 1107075394
Total Pages : 313 pages
Book Rating : 4.99/5 ( download)

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Download or read book An Introduction to Stochastic Dynamics written by Jinqiao Duan and published by Cambridge University Press. This book was released on 2015-04-13 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction for applied mathematicians to concepts and techniques for describing, quantifying, and understanding dynamics under uncertainty.

Author : Peter H. Baxendale
Publisher : World Scientific
ISBN 13 : 9812770631
Total Pages : 416 pages
Book Rating : 4.39/5 ( download)

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Download or read book Stochastic Differential Equations written by Peter H. Baxendale and published by World Scientific. This book was released on 2007 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of 15 articles written by experts in stochastic analysis. The first paper in the volume, Stochastic Evolution Equations by N V Krylov and B L Rozovskii, was originally published in Russian in 1979. After more than a quarter-century, this paper remains a standard reference in the field of stochastic partial differential equations (SPDEs) and continues to attract the attention of mathematicians of all generations. Together with a short but thorough introduction to SPDEs, it presents a number of optimal, and essentially unimprovable, results about solvability for a large class of both linear and non-linear equations. The other papers in this volume were specially written for the occasion of Prof RozovskiiOCOs 60th birthday. They tackle a wide range of topics in the theory and applications of stochastic differential equations, both ordinary and with partial derivatives."