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Semilinear Schrödinger equation with time dependent coefficients

✍ Scribed by Luca Fanelli

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
198 KB
Volume
282
Category
Article
ISSN
0025-584X

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✦ Synopsis

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 vanishing with finite order on a discrete set; we find the relationship between the critical powers γ for the well‐posedness and the order of the zeroes of a (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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