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Chern–Simons limit of the standing wave solutions for the Schrödinger equations coupled with a neutral scalar field

✍ Scribed by Han, Jongmin; Huh, Hyungjin; Seok, Jinmyoung

Book ID: 122219360
Publisher: Elsevier Science
Year: 2014
Tongue: English
Weight: 278 KB
Volume: 266
Category: Article
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2013.09.019

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## Abstract We consider the equation (−1)^__m__^∇^__m__^ (__p__∇^__m__^__u__) + ∂__u__ = ƒ in ℝ^__n__^ × (0, ∞) for arbitrary positive integers __m__ and __n__ and under the assumptions __p__ − 1, ƒ ϵ __C__(ℝ^__n__^) and __p__ > 0. Even if the differential operator (−1)^__m__^∇^__m__^ (__p__∇^__m__