Nonlinear Partial Differential Equations with Applications
Published on 16. September 2005
Book
Hardback
XVIII, 405 pages
978-3-7643-7293-4 (ISBN)
Description
This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition quickly leads general theory to analysis of concrete equations, which have specific applications in such areas as electrically (semi-) conductive media, modeling of biological systems, and mechanical engineering. Methods of Galerkin or of Rothe are exposed in a large generality.
Reviews / Votes
From the reviews: "The book under review is mainly devoted to the study of both steady-state (Part I) and evolution (Part II) boundary value problems ... . The organization of the material is well done, and the presentation ... is clear, elegant and rigorous. ... In conclusion, primarily addressed to graduate and Ph.D. students and researchers ... this book is a notable addition to the existing literature. Also, it certainly will prove useful to engineers, physicists, biologists and other scientists ... ." (Ioan I. Vrabie, Mathematical Reviews, Issue 2007 e)More details
Series
Edition
2005
Language
English
Place of publication
Basel
Switzerland
Publishing group
Springer Basel
Target group
College/higher education
Professional/practitioner
Product notice
Laminated cover
Illustrations
5
5 s/w Tabellen
black & white illustrations
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Thickness: 23 mm
Weight
1700 gr
ISBN-13
978-3-7643-7293-4 (9783764372934)
DOI
10.1007/3-7643-7397-0
Schweitzer Classification
Other editions
New editions
Tomás Roubícek
Nonlinear Partial Differential Equations with Applications
Book
01/2013
2nd Edition
Springer
€85.59
Shipment within 10-15 days
Additional editions
Tomás Roubicek
Nonlinear Partial Differential Equations with Applications
E-Book
01/2006
1st Edition
Birkhäuser
€117.69
Available for download
Content
Preliminary general material.- Steady-State Problems.- Pseudomonotone or weakly continuous mappings.- Accretive mappings.- Potential problems: smooth case.- Nonsmooth problems; variational inequalities.- Systems of equations: particular examples.- Evolution Problems.- Special auxiliary tools.- Evolution by pseudomonotone or weakly continuous mappings.- Evolution governed by accretive mappings.- Evolution governed by certain set-valued mappings.- Doubly-nonlinear problems.- Systems of equations: particular examples.