Attractors of nonautonomous schrödinger equations
✍ Scribed by Liu Yu-rong; Liu Zeng-rong; Zheng Yong-ai
- Book ID
- 105574954
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 439 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0253-4827
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We prove that the global attractor for a weakly damped nonlinear Schr6dinger equation is smooth, i.e., it is made of smooth functions when the forcing term is smooth. Our study relies on a new approach that works for dispersive equations that are weakly dissipative, i.e., for equations for which the
In this paper the authors consider the initial boundary value problems of dissipative Schrodinger᎐Boussinesq equations and prove the existence of global ättractors and the finiteness of the Hausdorff and the fractal dimensions of the attractors.