Lectures on Nonlinear Evolution Equations
Initial Value Problem
Published on 1. January 1992
Book
Hardback
VIII, 260 pages
978-3-528-06421-1 (ISBN)
Description
This book serves as an elementary, self contained introduction into some important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations. The presentation is made using the classical method of continuation of local solutions with the help of a priori estimates obtained for small data.
More details
Series
Edition
1992
Language
English
Place of publication
Wiesbaden
Germany
Publishing group
Vieweg & Teubner
Target group
College/higher education
Professional and scholarly
Upper undergraduate
Illustrations
biography
Dimensions
Height: 16.2 cm
Width: 23 cm
Weight
524 gr
ISBN-13
978-3-528-06421-1 (9783528064211)
DOI
10.1007/978-3-663-10629-6
Schweitzer Classification
Other editions
Additional editions
Book
09/2015
2nd Edition
Birkhäuser
€117.69
Shipment within 10-15 days
Book
04/2014
Vieweg+Teubner Verlag
€53.49
Shipment within 10-15 days
E-Book
06/2013
Vieweg+Teubner Verlag
€53.49
Available for download
Person
Dr. Reinhard Racke, Institut für Angewandte Mathematik,Universität Bonn/ Prof. Dr. Klas Diederich, Mathematisches Institut der Universität Wuppertal.
Content
1 Global solutions to wave equations - existence theorems.- 2 Lp-Lq-decay estimates for the linear wave equation.- 3 Linear symmetric hyperbolic systems.- 4 Some inequalities.- 5 Local existence for quasilinear symmetric hyperbolic systems.- 6 High energy estimates.- 7 Weighted a priori estimates for small data.- 8 Global solutions to wave equations - proofs.- 9 Other methods.- 10 Development of singularities.- 11 More evolution equations.- 12 Further aspects and questions.- A Interpolation.- B The Theorem of Cauchy-Kowalevsky.- C A local existence theorem for hyperbolic-parabolic systems.- References.- Notation.