Lectures on Nonlinear Evolution Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Nonlinear Evolution Equations write by Reinhard Racke. This book was released on 2015-08-31. Lectures on Nonlinear Evolution Equations available in PDF, EPUB and Kindle. 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.
Lectures on Nonlinear Evolution Equations
Lectures on Nonlinear Evolution Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Nonlinear Evolution Equations write by Reinhard Racke. This book was released on 2014-04-22. Lectures on Nonlinear Evolution Equations available in PDF, EPUB and Kindle. This book serves as an elementary, self contained introduction into some important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations. The presentation is made using the classical method of continuation of local solutions with the help of a priori estimates obtained for small data.
Harmonic Analysis Method For Nonlinear Evolution Equations, I
Harmonic Analysis Method For Nonlinear Evolution Equations, I - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Harmonic Analysis Method For Nonlinear Evolution Equations, I write by Baoxiang Wang. This book was released on 2011-08-10. Harmonic Analysis Method For Nonlinear Evolution Equations, I available in PDF, EPUB and Kindle. 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.
Oscillating Patterns in Image Processing and Nonlinear Evolution Equations
Oscillating Patterns in Image Processing and Nonlinear Evolution Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Oscillating Patterns in Image Processing and Nonlinear Evolution Equations write by Yves Meyer. This book was released on 2001. Oscillating Patterns in Image Processing and Nonlinear Evolution Equations available in PDF, EPUB and Kindle. Image compression, the Navier-Stokes equations, and detection of gravitational waves are three seemingly unrelated scientific problems that, remarkably, can be studied from one perspective. The notion that unifies the three problems is that of ``oscillating patterns'', which are present in many natural images, help to explain nonlinear equations, and are pivotal in studying chirps and frequency-modulated signals. The first chapter of this book considers image processing, moreprecisely algorithms of image compression and denoising. This research is motivated in particular by the new standard for compression of still images known as JPEG-2000. The second chapter has new results on the Navier-Stokes and other nonlinear evolution equations. Frequency-modulated signals and theiruse in the detection of gravitational waves are covered in the final chapter. In the book, the author describes both what the oscillating patterns are and the mathematics necessary for their analysis. It turns out that this mathematics involves new properties of various Besov-type function spaces and leads to many deep results, including new generalizations of famous Gagliardo-Nirenberg and Poincare inequalities. This book is based on the ``Dean Jacqueline B. Lewis Memorial Lectures'' given bythe author at Rutgers University. It can be used either as a textbook in studying applications of wavelets to image processing or as a supplementary resource for studying nonlinear evolution equations or frequency-modulated signals. Most of the material in the book did not appear previously inmonograph literature.
Nonlinear Evolution Equations - Global Behavior of Solutions
Nonlinear Evolution Equations - Global Behavior of Solutions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Evolution Equations - Global Behavior of Solutions write by Alain Haraux. This book was released on 2006-11-15. Nonlinear Evolution Equations - Global Behavior of Solutions available in PDF, EPUB and Kindle.
