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Strong unique continuation for higher order elliptic equations with Gevrey coefficients

✍ Scribed by Mihaela Ignatova; Igor Kukavica

Book ID: 113699322
Publisher: Elsevier Science
Year: 2012
Tongue: English
Weight: 223 KB
Volume: 252
Category: Article
ISSN: 0022-0396
DOI: 10.1016/j.jde.2011.11.027

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## Abstract Let __P__(__ω__, ∇) be an elliptic operator with weight __ω__, and let __u__ be a solution in some Lipschitz domains to −__P__(__ω__, ∇__u__)+__W__∇__u__+__Vu__=0 with sharp singular potentials __W__ and __V__. The weighted doubling estimates, the weighted three‐ball inequalities and th