Nonlinear Evolution Equations β Global Behavior of Solutions
β Scribed by Alain Haraux (auth.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 1981
- Tongue
- English
- Leaves
- 323
- Series
- Lecture Notes in Mathematics 841
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Generalities and local theory....Pages 1-18
The global existence problem....Pages 19-38
Theory of monotone operators and applications....Pages 39-95
Smoothing effect for some nonlinear evolution equations....Pages 96-117
SchrΓΆdinger and wave equations with a logarithmic nonlinearity....Pages 118-147
The linear case: Hilbertian theory and applications....Pages 148-163
Some nonlinear monotone cases....Pages 164-183
Some nonlinear, non monotone cases....Pages 184-199
Autonomous dissipative systems....Pages 200-240
General results for quasi-autonomous periodic systems....Pages 241-265
More on asymptotic behavior for solutions of the nonlinear dissipative forced wave equation....Pages 266-283
Boundedness of trajectories for quasi-autonomous dissipative systems....Pages 284-294
Almost-periodic quasi-autonomous dissipative systems in a Hilbert space....Pages 295-309
β¦ Subjects
Analysis;Mathematical and Computational Physics
π SIMILAR VOLUMES
This text represents the results originally obtained by S. Lainerman, D. Christodoulou, Y. Choquet-Bruhat, T. Nishida and A. Matsumara on the global existence of classical solutions to the Cauchy problem with small initial data for nonlinear evolution equations
This text represents the results originally obtained by S. Lainerman, D. Christodoulou, Y. Choquet-Bruhat, T. Nishida and A. Matsumara on the global existence of classical solutions to the Cauchy problem with small initial data for nonlinear evolution equations.
This text represents the results originally obtained by S. Lainerman, D. Christodoulou, Y. Choquet-Bruhat, T. Nishida and A. Matsumara on the global existence of classical solutions to the Cauchy problem with small initial data for nonlinear evolution equations.
This volume presents recent progress in the theory of nonlinear dispersive equations, primarily the nonlinear Schrodinger (NLS) equation. The Cauchy problem for defocusing NLS with critical nonlinearity is discussed. New techniques and results are described on global existence and properties of solu