Uniqueness of Renormalized Solutions of Degenerate Elliptic–Parabolic Problems
✍ Scribed by José Carrillo; Petra Wittbold
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 218 KB
- Volume
- 156
- Category
- Article
- ISSN
- 0022-0396
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📜 SIMILAR VOLUMES
We study the degenerate parabolic equation u q ٌ и f s ٌ и Qٌu q g, where t Ž . ## N q x,t gޒ ޒ= , the flux f, the viscosity coefficient Q, and the source term g Ž . depend on x, t, u and Q is nonnegative definite. Due to the possible degeneracy, weak solutions are considered. In general, the
for u ( x ) = ( u l ( x ) , -\* , u,(x)).
## 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 (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)