1# Library to Find Best eBook for Read
Author : Antonio Degasperis
Release : 1990
Genre : Mathematics
Kind : eBook
Book Rating : 738/5 ( reviews)
Book Synopsis Nonlinear Evolution Equations : Integrability and Spectral Methods by : Antonio Degasperis
Download or read book Nonlinear Evolution Equations : Integrability and Spectral Methods written by Antonio Degasperis. This book was released on 1990. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Kral
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 255/5 ( reviews)
Book Synopsis Nonlinear Evolution Equations and Potential Theory by : J. Kral
Download or read book Nonlinear Evolution Equations and Potential Theory written by J. Kral. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Preface.- Gottfried Anger: Direct and inverse problems in potential theory.- Viorel Barbu: Regularity results for sane differential equations associated with maximal monotone operators in Hilbert spaces.- Haim Brezis: Classes d'interpolation associées à un opérateur monotone et applications.- Siegfried Dnümmel: On inverse problems for k-dimensional potentials.- Jozef Ka?ur: Application of Rothe's method to nonlinear parabolic boundary value problems.- Josef Král: Potentials and removability of singularities.- Vladimir Lovicar: Theorem of Fréchet and asymptotically almost periodid solutions of.
Author : Songmu Zheng
Release : 2004-07-08
Genre : Mathematics
Kind : eBook
Book Rating : 479/5 ( reviews)
Book Synopsis Nonlinear Evolution Equations by : Songmu Zheng
Download or read book Nonlinear Evolution Equations written by Songmu Zheng. This book was released on 2004-07-08. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear evolution equations arise in many fields of sciences including physics, mechanics, and material science. This book introduces some important methods for dealing with these equations and explains clearly and concisely a wide range of relevant theories and techniques. These include the semigroup method, the compactness and monotone operator methods, the monotone iterative method and invariant regions, the global existence and uniqueness theory for small initial data, and the asymptotic behavior of solutions and global attractors. Many of the results are published in book form for the first time. Bibliographic comments in each chapter provide the reader with references and further reading materials to enable further research and study.
Author : Baoxiang Wang
Release : 2011-08-10
Genre : Mathematics
Kind : eBook
Book Rating : 392/5 ( reviews)
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. This book was released on 2011-08-10. 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.
Author : Reinhard Racke
Release : 2015-09-07
Genre : Mathematics
Kind : eBook
Book Rating : 724/5 ( reviews)
Book Synopsis Lectures on Nonlinear Evolution Equations by : Reinhard Racke
Download or read book Lectures on Nonlinear Evolution Equations written by Reinhard Racke. This book was released on 2015-09-07. Available in PDF, EPUB and Kindle. Book excerpt: This book mainly serves as an elementary, self-contained introduction to several important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations. The book employs the classical method of continuation of local solutions with the help of a priori estimates obtained for small data. The existence and uniqueness of small, smooth solutions that are defined for all values of the time parameter are investigated. Moreover, the asymptotic behaviour of the solutions is described as time tends to infinity. The methods for nonlinear wave equations are discussed in detail. Other examples include the equations of elasticity, heat equations, the equations of thermoelasticity, Schrödinger equations, Klein-Gordon equations, Maxwell equations and plate equations. To emphasize the importance of studying the conditions under which small data problems offer global solutions, some blow-up results are briefly described. Moreover, the prospects for corresponding initial boundary value problems and for open questions are provided. In this second edition, initial-boundary value problems in waveguides are additionally considered.
