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Characterizations of absolute continuity and essential boundedness for higher order derivatives

✍ Scribed by J.W Jerome; L.L Schumaker

Publisher: Elsevier Science
Year: 1973
Tongue: English
Weight: 538 KB
Volume: 42
Category: Article
ISSN: 0022-247X
DOI: 10.1016/0022-247x(73)90152-2

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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__