Nonlinear Evolution Equations - Global Behavior of Solutions

Inhaltsverzeichnis

• 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.