𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Well-posedness for the fourth-order nonlinear derivative Schrödinger equation in higher dimension

✍ Scribed by Zhaohui Huo; Yueling Jia

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
213 KB
Volume
96
Category
Article
ISSN
0021-7824

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Derivation of a higher order nonlinear S
Derivation of a higher order nonlinear Schrödinger equation for weakly nonlinear Rossby waves
✍ Dehai Luo 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 129 KB

In the paper, with the help of a perturbation expansion method a new higher order nonlinear Schrödinger (HNLS) equation is derived to describe nonlinear modulated Rossby waves in the geophysical fluid. Using this equation, the modulational wave trains are discussed. It is found that the higher order

Necessary conditions for the well-posedn
Necessary conditions for the well-posedness of Schrödinger type equations in Gevrey spaces
✍ Michael Dreher 📂 Article 📅 2003 🏛 Elsevier Science 🌐 French ⚖ 169 KB

We discuss evolution operators of Schrödinger type which have a non-self-adjoint lower order term and give a necessary condition for the Cauchy problem to such operators to be well-posed in Gevrey spaces. Under an additional assumption, this necessary condition is sharp.