𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Gain of regularity for semilinear Schrödinger equations

✍ Scribed by Hiroyuki Chihara

Publisher
Springer
Year
1999
Tongue
English
Weight
267 KB
Volume
315
Category
Article
ISSN
0025-5831

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

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

Semilinear Schrödinger equation with tim
Semilinear Schrödinger equation with time dependent coefficients
✍ Luca Fanelli 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 198 KB

## Abstract In this paper we study local and global well‐posedness in __L__^2^ and __H__^1^ of the Cauchy problem for the following nonlinear Schrödinger equations equation image in the space ℝ^1+__n__^ , with __n__ ≥ 2. The coefficient __a__ (__t__) is assumed to be positive, and possibly vanish