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On a semilinear Schrödinger equation with periodic potential

✍ Scribed by A.A. Pankov; K. Pflüger


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
128 KB
Volume
33
Category
Article
ISSN
0362-546X

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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