Download or read book ABSTRACT NON LINEAR WAVE EQUATIONS LECTURES FROM A PROJECT MATHEMATICAL PROBLEMS OF QUANTUM DYNAMICS ZENTRUM FUR INTERDISZIPLINARE FORSCHUNG UNIVERSITY OF BIELEFELD written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Abstract Non Linear Wave Equations written by Michael Reed and published by Springer. This book was released on 2006-11-14 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Index of Conference Proceedings Received 1974 1978 written by British Library. Lending Division and published by . This book was released on 1980 with total page 1412 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Index of Conference Proceedings Received written by and published by . This book was released on 1979 with total page 1412 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lectures on Non linear Wave Equations written by Christopher Donald Sogge and published by . This book was released on 2008 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an account of the basic facts concerning the linear wave equation and the methods from harmonic analysis that are necessary when studying nonlinear hyperbolic differential equations. This book examines quasilinear equations with small data where the Klainerman-Sobolev inequalities and weighted space-time estimates are introduced.
Download or read book Lectures on the Energy Critical Nonlinear Wave Equation written by Carlos E. Kenig and published by American Mathematical Soc.. This book was released on 2015-04-14 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with recent advances in the study of the long-time asymptotics of large solutions to critical nonlinear dispersive equations. The first part of the monograph describes, in the context of the energy critical wave equation, the "concentration-compactness/rigidity theorem method" introduced by C. Kenig and F. Merle. This approach has become the canonical method for the study of the "global regularity and well-posedness" conjecture (defocusing case) and the "ground-state" conjecture (focusing case) in critical dispersive problems. The second part of the monograph describes the "channel of energy" method, introduced by T. Duyckaerts, C. Kenig, and F. Merle, to study soliton resolution for nonlinear wave equations. This culminates in a presentation of the proof of the soliton resolution conjecture, for the three-dimensional radial focusing energy critical wave equation. It is the intent that the results described in this book will be a model for what to strive for in the study of other nonlinear dispersive equations. A co-publication of the AMS and CBMS.
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.
Download or read book Index of conference proceedings received by the BLL written by British Library. Lending Division and published by . This book was released on 1976 with total page 858 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Vibrations and the Wave Equation written by Alain Haraux and published by Springer. This book was released on 2018-05-02 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers the revised lecture notes from a seminar course offered at the Federal University of Rio de Janeiro in 1986, then in Tokyo in 1987. An additional chapter has been added to reflect more recent advances in the field.
Download or read book Nelinejnye Nelokal nye Uravneni V Teorii Voln written by Pavel Ivanovich Naumkin and published by American Mathematical Soc.. This book was released on with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first to concentrate on the theory of nonlinear nonlocal equations. The authors solve a number of problems concerning the asymptotic behavior of solutions of nonlinear evolution equations, the blow-up of solutions, and the global in time existence of solutions. In addition, a new classification of nonlinear nonlocal equations is introduced. A large class of these equations is treated by a single method, the main features of which are apriori estimates in different integral norms and use of the Fourier transform. This book will interest specialists in partial differential equations, as well as physicists and engineers.
Download or read book Mathematics for Nonlinear Physics written by J. R. Bogning and published by Dorrance Publishing. This book was released on 2019-12-13 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics for Nonlinear Physics: Solitary Wave in the Center of the Resolution of Dispersive Nonlinear Partial Differential Equations By: J.R. Bogning Mathematics for Nonlinear Physics: Solitary Wave in the Center of the Resolution of Dispersive Nonlinear Partial Differential Equations is the result of ten years of high-level research on the dynamics of solitary waves. In the context of his different work in nonlinear physics, J.R. Bogning encountered differential equations with nonlinear partial derivatives whose search for solutions was not always obvious. But beyond the fact that these equations encountered were not always easy to integrate, the observation he made was that very few works proposed forced solitary wave solutions. So this book develops in detail new mathematical techniques to solve some types of nonlinear equations encountered in nonlinear physics. This book is unique in terms of its content; the theories developed inside are not in any other book. This book is the pioneer in the theory developed within it and will be the reference book from which other researchers and scientists will rely to extend and develop the mathematical concepts found there. Mastery of the properties and functions developed in the book will help to digitize solitary waves.
Download or read book Nonlinear Wave Equations written by Daqian Li and published by . This book was released on 2017 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book New Methods and Results in Non linear Field Equations written by Philippe Blanchard and published by . This book was released on 1989 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Physics Briefs written by and published by . This book was released on 1984 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Wave Equations written by Walter A. Strauss and published by American Mathematical Soc.. This book was released on 1993 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Waves and Boundary Problems written by Sergey G. Glebov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-06-11 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume of Nonlinear Equations with Small Parameter containing new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. They allow one to match asymptotics of various properties with each other in transition regions and to get unified formulas for connection of characteristic parameters of approximate solutions. This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena. These are beginnings of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering constructions and quantum systems. Apart from independent interest the approximate solutions serve as a foolproof basis for testing numerical algorithms. The second volume will be related to partial differential equations.
