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Similarity transformations for nonlinear Schrödinger equations with time-dependent coefficients

✍ Scribed by Víctor M. Pérez-García; Pedro J. Torres; Vladimir V. Konotop


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
222 KB
Volume
221
Category
Article
ISSN
0167-2789

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Semilinear Schrödinger equation with tim
✍ 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