𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Radial functions and regularity of solutions to the Schrödinger equation

✍ Scribed by Elena Prestini

Publisher
Springer Vienna
Year
1990
Tongue
English
Weight
324 KB
Volume
109
Category
Article
ISSN
0026-9255

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Regularity in Time of Solutions to Nonli
Regularity in Time of Solutions to Nonlinear Schrödinger Equations
✍ N. Hayashi; K. Kato 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 655 KB

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

Regularity of the attractor for Schrödin
Regularity of the attractor for Schrödinger equation
✍ O. Goubet 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 154 KB

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