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Existence time for the semilinear Schrödinger equation

✍ Scribed by Wei Mingjun

Book ID
107500629
Publisher
SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Year
2003
Tongue
English
Weight
170 KB
Volume
18
Category
Article
ISSN
1005-1031

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📜 SIMILAR VOLUMES

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