Nonlinear evolution equations : global behavior of solutions

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Nonlinear evolution equations : global behavior of solutions

Alain Haraux

(Lecture notes in mathematics, 841)

Springer-Verlag, 1981

  • : Berlin
  • : New York

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Includes bibliographies and indexes

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Table of Contents

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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