Evolution Equations And Applications

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Abstract Parabolic Evolution Equations and their Applications

Author : Atsushi Yagi
Publisher : Springer Science & Business Media
ISBN 13 : 3642046312
Total Pages : 594 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Abstract Parabolic Evolution Equations and their Applications by : Atsushi Yagi

Download or read book Abstract Parabolic Evolution Equations and their Applications written by Atsushi Yagi and published by Springer Science & Business Media. This book was released on 2009-11-03 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is intended to present the fundamentals of the theory of abstract parabolic evolution equations and to show how to apply to various nonlinear dif- sion equations and systems arising in science. The theory gives us a uni?ed and s- tematic treatment for concrete nonlinear diffusion models. Three main approaches are known to the abstract parabolic evolution equations, namely, the semigroup methods, the variational methods, and the methods of using operational equations. In order to keep the volume of the monograph in reasonable length, we will focus on the semigroup methods. For other two approaches, see the related references in Bibliography. The semigroup methods, which go back to the invention of the analytic se- groups in the middle of the last century, are characterized by precise formulas representing the solutions of the Cauchy problem for evolution equations. The ?tA analytic semigroup e generated by a linear operator ?A provides directly a fundamental solution to the Cauchy problem for an autonomous linear e- dU lution equation, +AU =F(t), 0

Evolutionary Equations with Applications in Natural Sciences

Author : Jacek Banasiak
Publisher : Springer
ISBN 13 : 3319113224
Total Pages : 505 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Evolutionary Equations with Applications in Natural Sciences by : Jacek Banasiak

Download or read book Evolutionary Equations with Applications in Natural Sciences written by Jacek Banasiak and published by Springer. This book was released on 2014-11-07 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the unifying theme of abstract evolutionary equations, both linear and nonlinear, in a complex environment, the book presents a multidisciplinary blend of topics, spanning the fields of theoretical and applied functional analysis, partial differential equations, probability theory and numerical analysis applied to various models coming from theoretical physics, biology, engineering and complexity theory. Truly unique features of the book are: the first simultaneous presentation of two complementary approaches to fragmentation and coagulation problems, by weak compactness methods and by using semigroup techniques, comprehensive exposition of probabilistic methods of analysis of long term dynamics of dynamical systems, semigroup analysis of biological problems and cutting edge pattern formation theory. The book will appeal to postgraduate students and researchers specializing in applications of mathematics to problems arising in natural sciences and engineering.

Dynamical Systems and Evolution Equations

Author : John A. Walker
Publisher : Springer Science & Business Media
ISBN 13 : 1468410369
Total Pages : 244 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Dynamical Systems and Evolution Equations by : John A. Walker

Download or read book Dynamical Systems and Evolution Equations written by John A. Walker and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of a nine-month course first given during 1976-77 in the Division of Engineering Mechanics, University of Texas (Austin), and repeated during 1977-78 in the Department of Engineering Sciences and Applied Mathematics, Northwestern University. Most of the students were in their second year of graduate study, and all were familiar with Fourier series, Lebesgue integration, Hilbert space, and ordinary differential equa tions in finite-dimensional space. This book is primarily an exposition of certain methods of topological dynamics that have been found to be very useful in the analysis of physical systems but appear to be well known only to specialists. The purpose of the book is twofold: to present the material in such a way that the applications-oriented reader will be encouraged to apply these methods in the study of those physical systems of personal interest, and to make the coverage sufficient to render the current research literature intelligible, preparing the more mathematically inclined reader for research in this particular area of applied mathematics. We present only that portion of the theory which seems most useful in applications to physical systems. Adopting the view that the world is deterministic, we consider our basic problem to be predicting the future for a given physical system. This prediction is to be based on a known equation of evolution, describing the forward-time behavior of the system, but it is to be made without explicitly solving the equation.

Evolution Equations and Their Applications in Physical and Life Sciences

Author : G Lumer
Publisher : CRC Press
ISBN 13 : 9780824790103
Total Pages : 534 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Evolution Equations and Their Applications in Physical and Life Sciences by : G Lumer

Download or read book Evolution Equations and Their Applications in Physical and Life Sciences written by G Lumer and published by CRC Press. This book was released on 2000-11-08 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of lectures on linear partial differntial equations and semigroups, nonlinear equations, stochastic evolutionary processes, and evolution problems from physics, engineering and mathematical biology. The contributions come from the 6th International Conference on Evolution Equations and Their Applications in Physical and Life Sciences, held in Bad Herrenalb, Germany.

Nonlinear Evolution Equations and Applications

Author : Gheorghe Morosanu
Publisher : Springer Science & Business Media
ISBN 13 : 9789027724861
Total Pages : 362 pages
Book Rating : 4.7/5 (248 download)

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Book Synopsis Nonlinear Evolution Equations and Applications by : Gheorghe Morosanu

Download or read book Nonlinear Evolution Equations and Applications written by Gheorghe Morosanu and published by Springer Science & Business Media. This book was released on 1988-08-31 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Semilinear Evolution Equations and Their Applications

Author : Toka Diagana
Publisher : Springer
ISBN 13 : 303000449X
Total Pages : 199 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Semilinear Evolution Equations and Their Applications by : Toka Diagana

Download or read book Semilinear Evolution Equations and Their Applications written by Toka Diagana and published by Springer. This book was released on 2018-10-23 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, which is a continuation of Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, presents recent trends and developments upon fractional, first, and second order semilinear difference and differential equations, including degenerate ones. Various stability, uniqueness, and existence results are established using various tools from nonlinear functional analysis and operator theory (such as semigroup methods). Various applications to partial differential equations and the dynamic of populations are amply discussed. This self-contained volume is primarily intended for advanced undergraduate and graduate students, post-graduates and researchers, but may also be of interest to non-mathematicians such as physicists and theoretically oriented engineers. It can also be used as a graduate text on evolution equations and difference equations and their applications to partial differential equations and practical problems arising in population dynamics. For completeness, detailed preliminary background on Banach and Hilbert spaces, operator theory, semigroups of operators, and almost periodic functions and their spectral theory are included as well.

Evolution Equations and Approximations

Author : Kazufumi Ito
Publisher : World Scientific
ISBN 13 : 9789812380265
Total Pages : 524 pages
Book Rating : 4.3/5 (82 download)

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Book Synopsis Evolution Equations and Approximations by : Kazufumi Ito

Download or read book Evolution Equations and Approximations written by Kazufumi Ito and published by World Scientific. This book was released on 2002 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation Ito (North Carolina State U.) and Kappel (U. of Graz, Austria) offer a unified presentation of the general approach for well-posedness results using abstract evolution equations, drawing from and modifying the work of K. and Y. Kobayashi and S. Oharu. They also explore abstract approximation results for evolution equations. Their work is not a textbook, but they explain how instructors can use various sections, or combinations of them, as a foundation for a range of courses. Annotation copyrighted by Book News, Inc., Portland, OR

Surface Evolution Equations

Author : Yoshikazu Giga
Publisher : Springer Science & Business Media
ISBN 13 : 3764373911
Total Pages : 270 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Surface Evolution Equations by : Yoshikazu Giga

Download or read book Surface Evolution Equations written by Yoshikazu Giga and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a self-contained introduction to the analytic foundation of a level set approach for various surface evolution equations including curvature flow equations. These equations are important in many applications, such as material sciences, image processing and differential geometry. The goal is to introduce a generalized notion of solutions allowing singularities, and to solve the initial-value problem globally-in-time in a generalized sense. Various equivalent definitions of solutions are studied. Several new results on equivalence are also presented. Moreover, structures of level set equations are studied in detail. Further, a rather complete introduction to the theory of viscosity solutions is contained, which is a key tool for the level set approach. Although most of the results in this book are more or less known, they are scattered in several references, sometimes without proofs. This book presents these results in a synthetic way with full proofs. The intended audience are graduate students and researchers in various disciplines who would like to know the applicability and detail of the theory as well as its flavour. No familiarity with differential geometry or the theory of viscosity solutions is required. Only prerequisites are calculus, linear algebra and some basic knowledge about semicontinuous functions.

Evolution Equations

Author : Gisele Ruiz Goldstein
Publisher : CRC Press
ISBN 13 : 9780824709754
Total Pages : 442 pages
Book Rating : 4.7/5 (97 download)

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Book Synopsis Evolution Equations by : Gisele Ruiz Goldstein

Download or read book Evolution Equations written by Gisele Ruiz Goldstein and published by CRC Press. This book was released on 2003-06-24 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celebrating the work of renowned mathematician Jerome A. Goldstein, this reference compiles original research on the theory and application of evolution equations to stochastics, physics, engineering, biology, and finance. The text explores a wide range of topics in linear and nonlinear semigroup theory, operator theory, functional analysis, and linear and nonlinear partial differential equations, and studies the latest theoretical developments and uses of evolution equations in a variety of disciplines. Providing nearly 500 references, the book contains discussions by renowned mathematicians such as H. Brezis, G. Da Prato, N.E. Gretskij, I. Lasiecka, Peter Lax, M. M. Rao, and R. Triggiani.

An Introduction to Semilinear Evolution Equations

Author : Thierry Cazenave
Publisher : Oxford University Press
ISBN 13 : 9780198502777
Total Pages : 204 pages
Book Rating : 4.5/5 (27 download)

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Book Synopsis An Introduction to Semilinear Evolution Equations by : Thierry Cazenave

Download or read book An Introduction to Semilinear Evolution Equations written by Thierry Cazenave and published by Oxford University Press. This book was released on 1998 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents in a self-contained form the typical basic properties of solutions to semilinear evolutionary partial differential equations, with special emphasis on global properties. It has a didactic ambition and will be useful for an applied readership as well as theoretical researchers.

A Stability Technique for Evolution Partial Differential Equations

Author : Victor A. Galaktionov
Publisher : Springer Science & Business Media
ISBN 13 : 1461220505
Total Pages : 388 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis A Stability Technique for Evolution Partial Differential Equations by : Victor A. Galaktionov

Download or read book A Stability Technique for Evolution Partial Differential Equations written by Victor A. Galaktionov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Introduces a state-of-the-art method for the study of the asymptotic behavior of solutions to evolution partial differential equations. * Written by established mathematicians at the forefront of their field, this blend of delicate analysis and broad application is ideal for a course or seminar in asymptotic analysis and nonlinear PDEs. * Well-organized text with detailed index and bibliography, suitable as a course text or reference volume.

Nonlinear Evolution Equations - Global Behavior of Solutions

Author : Alain Haraux
Publisher : Springer
ISBN 13 : 3540385347
Total Pages : 324 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Nonlinear Evolution Equations - Global Behavior of Solutions by : Alain Haraux

Download or read book Nonlinear Evolution Equations - Global Behavior of Solutions written by Alain Haraux and published by Springer. This book was released on 2006-11-15 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Evolution Equations, Semigroups and Functional Analysis

Author : Alfredo Lorenzi
Publisher : Birkhäuser
ISBN 13 : 3034882211
Total Pages : 404 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Evolution Equations, Semigroups and Functional Analysis by : Alfredo Lorenzi

Download or read book Evolution Equations, Semigroups and Functional Analysis written by Alfredo Lorenzi and published by Birkhäuser. This book was released on 2012-12-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brunello Terreni (1953-2000) was a researcher and teacher with vision and dedication. The present volume is dedicated to the memory of Brunello Terreni. His mathematical interests are reflected in 20 expository articles written by distinguished mathematicians. The unifying theme of the articles is "evolution equations and functional analysis", which is presented in various and diverse forms: parabolic equations, semigroups, stochastic evolution, optimal control, existence, uniqueness and regularity of solutions, inverse problems as well as applications. Contributors: P. Acquistapace, V. Barbu, A. Briani, L. Boccardo, P. Colli Franzone, G. Da Prato, D. Donatelli, A. Favini, M. Fuhrmann, M. Grasselli, R. Illner, H. Koch, R. Labbas, H. Lange, I. Lasiecka, A. Lorenzi, A. Lunardi, P. Marcati, R. Nagel, G. Nickel, V. Pata, M. M. Porzio, B. Ruf, G. Savaré, R. Schnaubelt, E. Sinestrari, H. Tanabe, H. Teismann, E. Terraneo, R. Triggiani, A. Yagi.

Evolution Equations: Applications to Physics, Industry, Life Sciences and Economics

Author : Mimmo Iannelli
Publisher : Birkhäuser
ISBN 13 : 3034880855
Total Pages : 419 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Evolution Equations: Applications to Physics, Industry, Life Sciences and Economics by : Mimmo Iannelli

Download or read book Evolution Equations: Applications to Physics, Industry, Life Sciences and Economics written by Mimmo Iannelli and published by Birkhäuser. This book was released on 2012-12-06 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: The international conference on which the book is based brought together many of the world's leading experts, with particular effort on the interaction between established scientists and emerging young promising researchers, as well as on the interaction of pure and applied mathematics. All material has been rigorously refereed. The contributions contain much material developed after the conference, continuing research and incorporating additional new results and improvements. In addition, some up-to-date surveys are included.

Stochastic Differential Equations

Author : Peter H. Baxendale
Publisher : World Scientific
ISBN 13 : 9812706623
Total Pages : 416 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Stochastic Differential Equations by : Peter H. Baxendale

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: 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 attention of mathematicians of all generations, because, together with a short but thorough introduction to SPDEs, it presents a number of optimal and essentially non-improvable results about solvability for a large class of both linear and non-linear equations.

Evolution Equations and their applications

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (916 download)

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Book Synopsis Evolution Equations and their applications by :

Download or read book Evolution Equations and their applications written by and published by . This book was released on 1982 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Harmonic Analysis Method For Nonlinear Evolution Equations, I

Author : Baoxiang Wang
Publisher : World Scientific
ISBN 13 : 9814458392
Total Pages : 298 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Harmonic Analysis Method For Nonlinear Evolution Equations, I by : Baoxiang Wang

Download or read book Harmonic Analysis Method For Nonlinear Evolution Equations, I written by Baoxiang Wang and published by World Scientific. This book was released on 2011-08-10 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a comprehensive overview on a class of nonlinear evolution equations, such as nonlinear Schrödinger equations, nonlinear Klein-Gordon equations, KdV equations as well as Navier-Stokes equations and Boltzmann equations. The global wellposedness to the Cauchy problem for those equations is systematically studied by using the harmonic analysis methods.This book is self-contained and may also be used as an advanced textbook by graduate students in analysis and PDE subjects and even ambitious undergraduate students.