✦ LIBER ✦

Degeneration and regularization of the operator in the Cauchy problem for the Schrödinger equation

✍ Scribed by V. G. Sakbaev

Publisher: Springer US
Year: 2007
Tongue: English
Weight: 209 KB
Volume: 147
Category: Article
ISSN: 1573-8795
DOI: 10.1007/s10958-007-0486-6

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

The Cauchy problem for quasi-linear Schr

The Cauchy problem for quasi-linear Schrödinger equations

✍ Carlos E. Kenig; Gustavo Ponce; Luis Vega 📂 Article 📅 2004 🏛 Springer-Verlag 🌐 English ⚖ 463 KB

On the Cauchy problem for the Schrödinge

On the Cauchy problem for the Schrödinger equation degenerating outside a segment: Properties of solutions and spectral aspects of the regularization

✍ V. Zh. Sakbaev 📂 Article 📅 2008 🏛 Springer US 🌐 English ⚖ 410 KB

Cauchy problem for the -critical nonline

Cauchy problem for the -critical nonlinear Schrödinger equation below

✍ Daoyuan Fang; Sijia Zhong 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 223 KB 👁 1 views

In this paper, we consider solutions of the L 2 -critical focusing nonlinear Schrödinger equation on R 2 for the initial data in H s (s < 1), mainly about the L 2 concentration phenomena for blow-up solutions and global well-posedness for small initial data.

The Cauchy problem for the nonlinear Sch

The Cauchy problem for the nonlinear Schrödinger equation in H1

✍ Thierry Cazenave; Fred B. Weissler 📂 Article 📅 1988 🏛 Springer 🌐 English ⚖ 593 KB

The Cauchy Problem of the Nonlinear Schr

The Cauchy Problem of the Nonlinear Schrödinger Equations in ℝ1+1

✍ Gui-xiang Xu 📂 Article 📅 2007 🏛 Institute of Applied Mathematics, Chinese Academy 🌐 English ⚖ 234 KB

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