Get Free Shipping on orders over $79
Linear and Quasi-linear Evolution Equations in Hilbert Spaces : Graduate Studies in Mathematics - Pascal Cherrier

Linear and Quasi-linear Evolution Equations in Hilbert Spaces

By: Pascal Cherrier, Albert Milani

Paperback | 30 January 2012

At a Glance

Paperback


$229.75

or 4 interest-free payments of $57.44 with

 or 

Ships in 10 to 15 business days

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.

More in Mathematics

Speed : How it Explains the World - Vaclav Smil

RRP $36.99

$29.75

20%
OFF
Primary Mathematics : 4th Edition - Integrating Theory with Practice - Penelope Baker
The Infinite Game : From the bestselling author of Start With Why - Simon Sinek
Collins Classics - The Republic : Collins Classics - Plato
The Art of Gathering : How We Meet and Why It Matters - Priya Parker
The Maths Book : Big Ideas Simply Explained - DK

RRP $42.99

$32.99

23%
OFF
How to Win At Chess : The Ultimate Guide for Beginners and Beyond - Levy Rozman
The Selfish Gene : 40th Anniversary Edition - Richard Dawkins

RRP $32.95

$26.99

18%
OFF
The Mending of Broken Bones : A Modern Guide to Classical Algebra - Paul Lockhart
Geometry : Grades 6 - 8 - Kumon Publishing

RRP $24.99

$18.75

25%
OFF
Grade 3 Geometry and Measurement - KUMON PUBLISHING

RRP $16.99

$13.75

19%
OFF
Algebra Workbook Grades 6-8 : Algebra - Kumon
Intro to Geometry : Grades 6 - 8 - Kumon Publishing

RRP $24.99

$18.99

24%
OFF
Woo's Wonderful World of Maths - Eddie Woo

RRP $29.99

$24.99

17%
OFF
Grade 4 Geometry and Measurement : Kumon Math Workbooks - KUMON PUBLISHING
Pre-Algebra Workbook Grades 6-8 : Algebra - Kumon

RRP $24.99

$18.99

24%
OFF