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Nonlinear Evolution Equations - Global Behavior of Solutions
- Editore:
Springer Berlin Heidelberg
- Collana:
- Lecture Notes In Mathematics
- EAN:
9783540105633
- ISBN:
3540105638
- Pagine:
- 328
- Formato:
- Paperback
- Lingua:
- Tedesco
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Descrizione Nonlinear Evolution Equations - Global Behavior of Solutions
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.
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