Nonlinear Evolution Equations - Global Behavior of Solutions
Published on 1. March 1981
Book
Paperback/Softback
CCCXXXII, 316 pages
978-3-540-10563-3 (ISBN)
Description
Generalities and local theory.- The global existence problem.- Theory of monotone operators and applications.- Smoothing effect for some nonlinear evolution equations.- Schr¿dinger and wave equations with a logarithmic nonlinearity.- The linear case: Hilbertian theory and applications.- Some nonlinear monotone cases.- Some nonlinear, non monotone cases.- Autonomous dissipative systems.- General results for quasi-autonomous periodic systems.- More on asymptotic behavior for solutions of the nonlinear dissipative forced wave equation.- Boundedness of trajectories for quasi-autonomous dissipative systems.- Almost-periodic quasi-autonomous dissipative systems in a Hilbert space.
More details
Series
Edition
1981 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
CCCXXXII, 316 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 18 mm
Weight
499 gr
ISBN-13
978-3-540-10563-3 (9783540105633)
DOI
10.1007/BFb0089606
Schweitzer Classification
Content
Generalities and local theory.- The global existence problem.- Theory of monotone operators and applications.- Smoothing effect for some nonlinear evolution equations.- Schrödinger and wave equations with a logarithmic nonlinearity.- The linear case: Hilbertian theory and applications.- Some nonlinear monotone cases.- Some nonlinear, non monotone cases.- Autonomous dissipative systems.- General results for quasi-autonomous periodic systems.- More on asymptotic behavior for solutions of the nonlinear dissipative forced wave equation.- Boundedness of trajectories for quasi-autonomous dissipative systems.- Almost-periodic quasi-autonomous dissipative systems in a Hilbert space.