Beyond Partial Differential Equations : On Linear and Quasi-Linear Abstract Hyperbolic Evolution Equations

Beyer, Horst Reinhard

ISBN 10: 3540711287 / ISBN 13: 9783540711285

Published by Springer, 2007

About this Item

Seller Inventory # 5163349-n

Bibliographic Details

Title: Beyond Partial Differential Equations : On ...

Publisher: Springer

Publication Date: 2007

Binding: Soft cover

Condition: New

About this title

Synopsis:

This book introduces the treatment of linear and nonlinear (quasi-linear) abstract evolution equations by methods from the theory of strongly continuous semigroups. The theoretical part is accessible to graduate students with basic knowledge in functional analysis, with only some examples requiring more specialized knowledge from the spectral theory of linear, self-adjoint operators in Hilbert spaces. Emphasis is placed on equations of the hyperbolic type which are less often treated in the literature.

Review:

From the reviews:

"In the monograph under review, designed as a textbook for graduate students, the author aims to build up the theory in a straightforward way in view of physical applications. ... The material covered in the book was used in a two-semester course for graduate students. The book is a good summary of the most important facts of the theory of evolution equations, and is also a good source of information for researchers looking for new applications of this theory." (András Bátkai, Mathematical Reviews, Issue 2008 h)

"This well-written work is the outgrowth of a two-semester course on linear semigroup methods, linear and quasi-linear hyperbolic systems of partial differential equations, and the abstract theory of evolution equations ... . Although the text was written for truly advanced graduate students, it contains a wealth of well presented results on semigroup theory of evolution equations ... and will therefore serve as a valuable resource for researchers in mathematics and theoretical physics as well." (Thomas Hagen, Zentralblatt MATH, Vol. 1144, 2008)