Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download Global Existence And Blow Up Of Solutions For Nonlinear Wave Equations full books in PDF, epub, and Kindle. Read online Global Existence And Blow Up Of Solutions For Nonlinear Wave Equations ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : Hengli Jiao
Publisher :
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.3/5 (129 download)
Download or read book Global Existence and Blow-up of Solutions for Nonlinear Wave Equations written by Hengli Jiao and published by . This book was released on 1996 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Walter A. Strauss
Publisher : American Mathematical Soc.
ISBN 13 : 0821807250
Total Pages : 106 pages
Book Rating : 4.8/5 (218 download)
Download or read book Nonlinear Wave Equations written by Walter A. Strauss and published by American Mathematical Soc.. This book was released on 1990-01-12 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of nonlinear wave equations in the absence of shocks began in the 1960s. Despite a great deal of recent activity in this area, some major issues remain unsolved, such as sharp conditions for the global existence of solutions with arbitrary initial data, and the global phase portrait in the presence of periodic solutions and traveling waves. This book, based on lectures presented by the author at George Mason University in January 1989, seeks to present the sharpest results to date in this area. The author surveys the fundamental qualitative properties of the solutions of nonlinear wave equations in the absence of boundaries and shocks. These properties include the existence and regularity of global solutions, strong and weak singularities, asymptotic properties, scattering theory and stability of solitary waves. Wave equations of hyperbolic, Schrodinger, and KdV type are discussed, as well as the Yang-Mills and the Vlasov-Maxwell equations. The book offers readers a broad overview of the field and an understanding of the most recent developments, as well as the status of some important unsolved problems. Intended for mathematicians and physicists interested in nonlinear waves, this book would be suitable as the basis for an advanced graduate-level course.
Author : Eugene A. Belchev
Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.3/5 (129 download)
Download or read book Finite-time Blow-up of Solutions to Nonlinear Wave Equations written by Eugene A. Belchev and published by . This book was released on 1999 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Satyanad Kichenassamy
Publisher : CRC Press
ISBN 13 : 1000444724
Total Pages : 297 pages
Book Rating : 4.0/5 (4 download)
Download or read book Nonlinear Wave Equations written by Satyanad Kichenassamy and published by CRC Press. This book was released on 2021-05-30 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work examines the mathematical aspects of nonlinear wave propagation, emphasizing nonlinear hyperbolic problems. It introduces the tools that are most effective for exploring the problems of local and global existence, singularity formation, and large-time behaviour of solutions, and for the study of perturbation methods.
Author : Tatsien Li
Publisher : Springer
ISBN 13 : 3662557258
Total Pages : 399 pages
Book Rating : 4.6/5 (625 download)
Download or read book Nonlinear Wave Equations written by Tatsien Li and published by Springer. This book was released on 2017-11-23 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on nonlinear wave equations, which are of considerable significance from both physical and theoretical perspectives. It also presents complete results on the lower bound estimates of lifespan (including the global existence), which are established for classical solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible space dimensions and with all possible integer powers of nonlinear terms. Further, the book proposes the global iteration method, which offers a unified and straightforward approach for treating these kinds of problems. Purely based on the properties of solut ions to the corresponding linear problems, the method simply applies the contraction mapping principle.
Author : Sergiu Klainerman
Publisher :
ISBN 13 :
Total Pages : 79 pages
Book Rating : 4.:/5 (956 download)
Download or read book Global Existence For Nonlinear Wave Equations written by Sergiu Klainerman and published by . This book was released on 1977 with total page 79 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mariusz Adam Kepka
Publisher :
ISBN 13 :
Total Pages : 146 pages
Book Rating : 4.3/5 (129 download)
Download or read book Global Existence of Solutions to Nonlinear Wave Equations written by Mariusz Adam Kepka and published by . This book was released on 1998 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nimet Alpay
Publisher :
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.3/5 (129 download)
Download or read book Global Existence of Solutions to Nonlinear Wave Equations by Weighted Strichartz Inequalities written by Nimet Alpay and published by . This book was released on 2004 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tae-Wan Park
Publisher :
ISBN 13 :
Total Pages : 130 pages
Book Rating : 4.3/5 (129 download)
Download or read book The Existence of Global Solutions of a Variational Nonlinear Wave Equation written by Tae-Wan Park and published by . This book was released on 2005 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : S.Katayama
Publisher :
ISBN 13 : 9784864970549
Total Pages : 0 pages
Book Rating : 4.9/5 (75 download)
Download or read book Global solutions and the asymptotic behavior for nonlinear wave equations with small initial data written by S.Katayama and published by . This book was released on 2017-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the study of the Cauchy problem for nonlinear wave equations with small initial data, the case where the nonlinearity has the critical power is of special interest. In this case, depending on the structure of the nonlinearity, one may observe global existence and finite time blow-up of solutions. In 80's, Klainerman introduced a sufficient condition, called the null condition, for the small data global existence in the critical case. Recently, weaker sufficient conditions are also studied.This volume offers a comprehensive survey of the theory of nonlinear wave equations, including the classical local existence theorem, the global existence in the supercritical case, the finite time blow-up and the lifespan estimate in the critical case, and the global existence under the null condition in two and three space dimensions. The main tool here is the so-called vector field method. This volume also contains recent progress in the small data global existence under some conditions weaker than the null condition, and it is shown that a wide variety of the asymptotic behavior is observed under such weaker conditions.This volume is written not only for researchers, but also for graduate students who are interested in nonlinear wave equations. The exposition is intended to be self-contained and a complete proof is given for each theorem.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets
Author : Christopher Donald Sogge
Publisher :
ISBN 13 :
Total Pages : 176 pages
Book Rating : 4.3/5 (91 download)
Download or read book Lectures on Nonlinear Wave Equations written by Christopher Donald Sogge and published by . This book was released on 1995 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents three types of problems in the theory of nonlinear wave equations that have varying degrees of non-trivial overlap with harmonic analysis. The author discusses results including existence for certain quasilinear wave equations and for semilinear wave equations.
Author : Reinhard Racke
Publisher : Birkhäuser
ISBN 13 : 3319218735
Total Pages : 315 pages
Book Rating : 4.3/5 (192 download)
Download or read book Lectures on Nonlinear Evolution Equations written by Reinhard Racke and published by Birkhäuser. This book was released on 2015-08-31 with total page 315 pages. 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.
Author : Mitsuru Ikawa
Publisher : American Mathematical Soc.
ISBN 13 : 9780821810217
Total Pages : 218 pages
Book Rating : 4.8/5 (12 download)
Download or read book Hyperbolic Partial Differential Equations and Wave Phenomena written by Mitsuru Ikawa and published by American Mathematical Soc.. This book was released on 2000 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The familiar wave equation is the most fundamental hyperbolic partial differential equation. Other hyperbolic equations, both linear and nonlinear, exhibit many wave-like phenomena. The primary theme of this book is the mathematical investigation of such wave phenomena. The exposition begins with derivations of some wave equations, including waves in an elastic body, such as those observed in connection with earthquakes. Certain existence results are proved early on, allowing the later analysis to concentrate on properties of solutions. The existence of solutions is established using methods from functional analysis. Many of the properties are developed using methods of asymptotic solutions. The last chapter contains an analysis of the decay of the local energy of solutions. This analysis shows, in particular, that in a connected exterior domain, disturbances gradually drift into the distance and the effect of a disturbance in a bounded domain becomes small after sufficient time passes. The book is geared toward a wide audience interested in PDEs. Prerequisite to the text are some real analysis and elementary functional analysis. It would be suitable for use as a text in PDEs or mathematical physics at the advanced undergraduate and graduate level.
Author : Fritz John
Publisher : American Mathematical Soc.
ISBN 13 : 0821870017
Total Pages : 74 pages
Book Rating : 4.8/5 (218 download)
Download or read book Nonlinear Wave Equations, Formation of Singularities written by Fritz John and published by American Mathematical Soc.. This book was released on 1990-07-01 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume in the University Lecture Series, designed to make more widely available some of the outstanding lectures presented in various institutions around the country. Each year at Lehigh University, a distinguished mathematical scientist presents the Pitcher Lectures in the Mathematical Sciences. This volume contains the Pitcher lectures presented by Fritz John in April 1989. The lectures deal with existence in the large of solutions of initial value problems for nonlinear hyperbolic partial differential equations. As is typical with nonlinear problems, there are many results and few general conclusions in this extensive subject, so the author restricts himself to a small portion of the field, in which it is possible to discern some general patterns. Presenting an exposition of recent research in this area, the author examines the way in which solutions can, even with small and very smooth initial data, ``blow up'' after a finite time. For various types of quasi-linear equations, this time depends strongly on the number of dimensions and the ``size'' of the data. Of particular interest is the formation of singularities for nonlinear wave equations in three space dimensions.
Author : Vladimir Georgiev
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (753 download)
Download or read book Global existence of low regularity solutions of non-linear wave equations written by Vladimir Georgiev and published by . This book was released on 1993 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yan Guo
Publisher : American Mathematical Soc.
ISBN 13 : 0821820710
Total Pages : 216 pages
Book Rating : 4.8/5 (218 download)
Download or read book Nonlinear Wave Equations written by Yan Guo and published by American Mathematical Soc.. This book was released on 2000 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents original research papers and expository articles from the conference in honour of Walter A. Strauss's 60th birthday, held at Brown University in Providence, Rhode Island. The book offers a collection of original papers and expository articles mainly devoted to the study of nonlinear wave equations. The articles cover a wide range of topics, including scattering theory, dispersive waves, classical field theory, mathematical fluid dynamics, kinetic theory, stability theory, and variational methods. The book offers a cross-section of current trends and research directions in the study of nonlinear wave equations and related topics.
Author : Jaime Angulo Pava
Publisher : American Mathematical Soc.
ISBN 13 : 0821848976
Total Pages : 272 pages
Book Rating : 4.8/5 (218 download)
Download or read book Nonlinear Dispersive Equations written by Jaime Angulo Pava and published by American Mathematical Soc.. This book was released on 2009 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained presentation of classical and new methods for studying wave phenomena that are related to the existence and stability of solitary and periodic travelling wave solutions for nonlinear dispersive evolution equations. Simplicity, concrete examples, and applications are emphasized throughout in order to make the material easily accessible. The list of classical nonlinear dispersive equations studied include Korteweg-de Vries, Benjamin-Ono, and Schrodinger equations. Many special Jacobian elliptic functions play a role in these examples. The author brings the reader to the forefront of knowledge about some aspects of the theory and motivates future developments in this fascinating and rapidly growing field. The book can be used as an instructive study guide as well as a reference by students and mature scientists interested in nonlinear wave phenomena.
