Strong instability of standing waves for Hartree equation with harmonic potential
✍ Scribed by Yanjin Wang
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 306 KB
- Volume
- 237
- Category
- Article
- ISSN
- 0167-2789
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In this paper, we consider the defocusing, energy-critical Hartree equation with harmonic potential for the radial data in all dimensions (n ≥ 5) and show the global well-posedness and scattering theory in the space Σ = H 1 ∩F H 1 . We take advantage of some symmetry of the Hartree nonlinearity to e
## Abstract This paper is concerned with a nonlinear defocusing fourth‐order dispersive Schrödinger equation with unbounded potentials which models propagation in fiber arrays. We analyze the global existence of the solution and also obtain the existence of the standing waves for the system. Furthe