Nonlinear evolution equations : global behavior of solutions
著者
書誌事項
Nonlinear evolution equations : global behavior of solutions
(Lecture notes in mathematics, 841)
Springer-Verlag, 1981
- : Berlin
- : New York
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注記
Includes bibliographies and indexes
内容説明・目次
目次
Generalities and local theory.- The global existence problem.- Theory of monotone operators and applications.- Smoothing effect for some nonlinear evolution equations.- Schroedinger 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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