Leading-edge Research on Evolution Equations

Leading-edge Research on Evolution Equations

Author: Gaston M. N'Guerekata

Publisher: Nova Publishers

Published: 2008

Total Pages: 258

ISBN-13: 9781604562262

DOWNLOAD EBOOK

This book presents high-quality research from around the world on the theory and methods of linear or nonlinear evolution equations as well as their further applications. Equations dealing with the asymptotic behavior of solutions to evolution equations are included. The book also covers degenerate parabolic equations, abstract differential equations, comments on the Schrodinger equation, solutions in banach spaces, periodic and quasi-periodic solutions, concave Lagragian systems and integral equations.


Evolutionary Equations with Applications in Natural Sciences

Evolutionary Equations with Applications in Natural Sciences

Author: Jacek Banasiak

Publisher: Springer

Published: 2014-11-07

Total Pages: 505

ISBN-13: 3319113224

DOWNLOAD EBOOK

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.


Evolution Equations

Evolution Equations

Author: Kaïs Ammari

Publisher: Cambridge University Press

Published: 2018

Total Pages: 205

ISBN-13: 1108412300

DOWNLOAD EBOOK

The proceedings of a summer school held in 2015 whose theme was long time behavior and control of evolution equations.


Functional Analytic Methods for Evolution Equations

Functional Analytic Methods for Evolution Equations

Author: Giuseppe Da Prato

Publisher: Springer Science & Business Media

Published: 2004-09-22

Total Pages: 486

ISBN-13: 9783540230304

DOWNLOAD EBOOK

This book consists of five introductory contributions by leading mathematicians on the functional analytic treatment of evolutions equations. In particular the contributions deal with Markov semigroups, maximal L^p-regularity, optimal control problems for boundary and point control systems, parabolic moving boundary problems and parabolic nonautonomous evolution equations. The book is addressed to PhD students, young researchers and mathematicians doing research in one of the above topics.


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

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

Author: Mimmo Iannelli

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 419

ISBN-13: 3034880855

DOWNLOAD EBOOK

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.


Evolution Equations With A Complex Spatial Variable

Evolution Equations With A Complex Spatial Variable

Author: Ciprian G Gal

Publisher: World Scientific

Published: 2014-03-18

Total Pages: 202

ISBN-13: 9814590614

DOWNLOAD EBOOK

This book investigates several classes of partial differential equations of real time variable and complex spatial variables, including the heat, Laplace, wave, telegraph, Burgers, Black-Merton-Scholes, Schrödinger and Korteweg-de Vries equations.The complexification of the spatial variable is done by two different methods. The first method is that of complexifying the spatial variable in the corresponding semigroups of operators. In this case, the solutions are studied within the context of the theory of semigroups of linear operators. It is also interesting to observe that these solutions preserve some geometric properties of the boundary function, like the univalence, starlikeness, convexity and spirallikeness. The second method is that of complexifying the spatial variable directly in the corresponding evolution equation from the real case. More precisely, the real spatial variable is replaced by a complex spatial variable in the corresponding evolution equation and then analytic and non-analytic solutions are sought.For the first time in the book literature, we aim to give a comprehensive study of the most important evolution equations of real time variable and complex spatial variables. In some cases, potential physical interpretations are presented. The generality of the methods used allows the study of evolution equations of spatial variables in general domains of the complex plane.


Evolution Equations and Their Applications in Physical and Life Sciences

Evolution Equations and Their Applications in Physical and Life Sciences

Author: G Lumer

Publisher: CRC Press

Published: 2000-11-08

Total Pages: 534

ISBN-13: 9780824790103

DOWNLOAD EBOOK

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.


Evolution Equations and Lagrangian Coordinates

Evolution Equations and Lagrangian Coordinates

Author: Anvarbek M. Meirmanov

Publisher: Walter de Gruyter

Published: 2011-07-20

Total Pages: 329

ISBN-13: 311087444X

DOWNLOAD EBOOK

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)