Nonlinear Evolution Equations - Global Behavior of Solutions

von Alain Haraux

328 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Reelle Analysis, Real-Variablen
• ISBN: 9783540105633
• Sprache: Englisch
• Erscheinungsdatum: 01.03.1981
• Größe: 235 x 155 mm
• Verlag: Springer