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Asymptotic Completeness of the Wave Operators for First Order Systems with Nonsmooth Coefficients

✍ Scribed by F. Jochmann

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 791 KB
Volume: 196
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1995.1406

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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__ and __p__ > 0. Under the additional assumption that the differential operator (−1)^__m__^∇^__