Optimal regularity for Schrödinger equations
✍ Scribed by Fengping Yao
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 430 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
In this paper we consider the regularity of solutions to nomlinear Schrödinger equations (NLS), \[ \begin{aligned} i \hat{C}, u+\frac{1}{3} \| u & =F(u, u) . & & (t, x) \in \mathbb{R} \times \mathbb{B}^{\prime \prime}, \\ u(0) & =\phi . & & x \in \mathbb{R}^{u} . \end{aligned} \] where \(F\) is a po
This paper deals with the regularity of the global attractor for the Klein}Gordon}Schro K dinger equation. Using a decomposition method, we prove that the global attractor for the one-dimensional model consists of smooth functions provided the forcing terms are regular.
A new integral equation method for the numerical solution of the radial Schrödinger equation in one dimension, developed by the authors (1997, J. Comput. Phys. 134, 134), is extended to systems of coupled Schrödinger equations with both positive and negative channel energies. The method, carried out