Nonlinear Evolution Equations — Global Behavior of Solutions
Haraux, Alain.
Nonlinear Evolution Equations — Global Behavior of Solutions [electronic resource] / by Alain Haraux. - CCCXXXII, 316 p. online resource. - Lecture Notes in Mathematics, 841 0075-8434 ; . - Lecture Notes in Mathematics, 841 .
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.
9783540385349
10.1007/BFb0089606 doi
Mathematics.
Global analysis (Mathematics).
Real Functions.
Analysis.
Theoretical, Mathematical and Computational Physics.
QA331.5
515.8
Nonlinear Evolution Equations — Global Behavior of Solutions [electronic resource] / by Alain Haraux. - CCCXXXII, 316 p. online resource. - Lecture Notes in Mathematics, 841 0075-8434 ; . - Lecture Notes in Mathematics, 841 .
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.
9783540385349
10.1007/BFb0089606 doi
Mathematics.
Global analysis (Mathematics).
Real Functions.
Analysis.
Theoretical, Mathematical and Computational Physics.
QA331.5
515.8