Linear and Quasi linear Evolution Equations in Hilbert Spaces is popular PDF and ePub book, written by Pascal Cherrier in 2022-07-14, 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, Linear and Quasi linear Evolution Equations in Hilbert Spaces can be Read Online from any device for your convenience.
Linear and Quasi linear Evolution Equations in Hilbert Spaces Book PDF Summary
This book considers evolution equations of hyperbolic and parabolic type. These equations are studied from a common point of view, using elementary methods, such as that of energy estimates, which prove to be quite versatile. The authors emphasize the Cauchy problem and present a unified theory for the treatment of these equations. In particular, they provide local and global existence results, as well as strong well-posedness and asymptotic behavior results for the Cauchy problem for quasi-linear equations. Solutions of linear equations are constructed explicitly, using the Galerkin method; the linear theory is then applied to quasi-linear equations, by means of a linearization and fixed-point technique. The authors also compare hyperbolic and parabolic problems, both in terms of singular perturbations, on compact time intervals, and asymptotically, in terms of the diffusion phenomenon, with new results on decay estimates for strong solutions of homogeneous quasi-linear equations of each type. This textbook presents a valuable introduction to topics in the theory of evolution equations, suitable for advanced graduate students. The exposition is largely self-contained. The initial chapter reviews the essential material from functional analysis. New ideas are introduced along with their context. Proofs are detailed and carefully presented. The book concludes with a chapter on applications of the theory to Maxwell's equations and von Karman's equations.
Detail Book of Linear and Quasi linear Evolution Equations in Hilbert Spaces PDF
- Author : Pascal Cherrier
- Release : 14 July 2022
- Publisher : American Mathematical Society
- ISBN : 9781470471446
- Genre : Mathematics
- Total Page : 400 pages
- Language : English
- PDF File Size : 18,5 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Linear and Quasi linear Evolution Equations in Hilbert Spaces by Pascal Cherrier, 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.