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Carleman estimates and unique continuation property for abstract elliptic equations

✍ Scribed by Veli B Shakhmurov


Book ID
119906861
Publisher
Springer International Publishing AG
Year
2012
Tongue
English
Weight
356 KB
Volume
2012
Category
Article
ISSN
1687-2762

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## Abstract We establish the strong unique continuation property for positive weak solutions to degenerate quasilinear elliptic equations. The degeneracy is given by a suitable power of a strong __A__~∞~ weight (Β© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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