[PDF] Leading Edge Research On Evolution Equations eBook

Author : Gaston M. N'Guerekata
Publisher : Nova Publishers
Page : 258 pages
File Size : 40,25 MB
Release : 2008
Category : Mathematics
ISBN : 9781604562262

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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.

Author : Jacek Banasiak
Publisher : Springer
Page : 505 pages
File Size : 37,80 MB
Release : 2014-11-07
Category : Mathematics
ISBN : 3319113224

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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.

Author : Kaïs Ammari
Publisher : Cambridge University Press
Page : 205 pages
File Size : 16,87 MB
Release : 2018
Category : Mathematics
ISBN : 1108412300

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

Author : Mimmo Iannelli
Publisher : Birkhäuser
Page : 419 pages
File Size : 45,82 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 3034880855

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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.

Author : Ciprian G Gal
Publisher : World Scientific
Page : 202 pages
File Size : 32,82 MB
Release : 2014-03-18
Category : Mathematics
ISBN : 9814590614

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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.

Author : Gisele Ruiz Goldstein
Publisher : CRC Press
Page : 440 pages
File Size : 25,46 MB
Release : 2019-04-24
Category : Mathematics
ISBN : 1482275953

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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 li

Author : Giuseppe Da Prato
Publisher : Springer Science & Business Media
Page : 486 pages
File Size : 32,49 MB
Release : 2004-09-22
Category : Mathematics
ISBN : 9783540230304

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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.

Author : Gaston M. N'Guérékata
Publisher : Springer Nature
Page : 275 pages
File Size : 36,34 MB
Release : 2021-10-27
Category : Mathematics
ISBN : 3030777049

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This volume features recent development and techniques in evolution equations by renown experts in the field. Each contribution emphasizes the relevance and depth of this important area of mathematics and its expanding reach into the physical, biological, social, and computational sciences as well as into engineering and technology. The reader will find an accessible summary of a wide range of active research topics, along with exciting new results. Topics include: Impulsive implicit Caputo fractional q-difference equations in finite and infinite dimensional Banach spaces; optimal control of averaged state of a population dynamic model; structural stability of nonlinear elliptic p(u)-Laplacian problem with Robin-type boundary condition; exponential dichotomy and partial neutral functional differential equations, stable and center-stable manifolds of admissible class; global attractor in Alpha-norm for some partial functional differential equations of neutral and retarded type; and more. Researchers in mathematical sciences, biosciences, computational sciences and related fields, will benefit from the rich and useful resources provided. Upper undergraduate and graduate students may be inspired to contribute to this active and stimulating field.