Hardy Function and Unique Continuation for Evolution Equations
β Scribed by B.Y. Zhang
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 575 KB
- Volume
- 178
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
## 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__~β~ weight (Β© 2010 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
Theorems of existence, uniqueness and continuous dependence for the nonlinear functional di erential equation d=dt(Au(t)) + Bu(t) = f(t; ut) in a Banach space are proved. The unbounded operator A is, generally, degenerate. Abstract results are applied to nonlinear partial functional di erential equa
## Abstract Let __P__(__Ο__, β) be an elliptic operator with weight __Ο__, and let __u__ be a solution in some Lipschitz domains to β__P__(__Ο__, β__u__)+__W__β__u__+__Vu__=0 with sharp singular potentials __W__ and __V__. The weighted doubling estimates, the weighted threeβball inequalities and th