Abstract Parabolic Evolution Equations and their Applications is popular PDF and ePub book, written by Atsushi Yagi in 2009-11-03, 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, Abstract Parabolic Evolution Equations and their Applications can be Read Online from any device for your convenience.
Abstract Parabolic Evolution Equations and their Applications Book PDF Summary
This monograph is intended to present the fundamentals of the theory of abstract parabolic evolution equations and to show how to apply to various nonlinear dif- sion equations and systems arising in science. The theory gives us a uni?ed and s- tematic treatment for concrete nonlinear diffusion models. Three main approaches are known to the abstract parabolic evolution equations, namely, the semigroup methods, the variational methods, and the methods of using operational equations. In order to keep the volume of the monograph in reasonable length, we will focus on the semigroup methods. For other two approaches, see the related references in Bibliography. The semigroup methods, which go back to the invention of the analytic se- groups in the middle of the last century, are characterized by precise formulas representing the solutions of the Cauchy problem for evolution equations. The ?tA analytic semigroup e generated by a linear operator ?A provides directly a fundamental solution to the Cauchy problem for an autonomous linear e- dU lution equation, +AU =F(t), 0
Detail Book of Abstract Parabolic Evolution Equations and their Applications PDF
- Author : Atsushi Yagi
- Release : 03 November 2009
- Publisher : Springer Science & Business Media
- ISBN : 9783642046315
- Genre : Mathematics
- Total Page : 594 pages
- Language : English
- PDF File Size : 10,5 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Abstract Parabolic Evolution Equations and their Applications by Atsushi Yagi, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.