Lectures on Nonlinear Evolution Equations is popular PDF and ePub book, written by Reinhard Racke in 2015-08-31, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Lectures on Nonlinear Evolution Equations can be Read Online from any device for your convenience.
Lectures on Nonlinear Evolution Equations Book PDF Summary
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.
Detail Book of Lectures on Nonlinear Evolution Equations PDF
- Author : Reinhard Racke
- Release : 31 August 2015
- Publisher : Birkhäuser
- ISBN : 9783319218731
- Genre : Mathematics
- Total Page : 315 pages
- Language : English
- PDF File Size : 8,7 Mb
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