Uniqueness and regularity of weak solutions for the 1- degenerate Keller–Segel systems
✍ Scribed by Yoshie Sugiyama
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 413 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
We consider the classical parabolic-parabolic Keller-Segel system describing chemotaxis, i.e., when both the evolution of the biological population and the chemoattractant concentration are described by a parabolic equation. We prove that when the equation is set in the whole space R d and dimension
## Abstract The interior __C__^0, γ^‐regularity for the first gradient of a weak solution to a class of nonlinear second order elliptic systems is proved under the assumption that oscillations of coefficients are controlled by the ellipticity constant. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Wein
Segel system, global and local existence, blow-up rate, weak L p -L q estimate MSC (2000) 35Q30 We shall show an exact time interval for the existence of local strong solutions to the Keller-Segel system with the initial data u0 in is sufficiently small, then our solution exists globally in time.
for u ( x ) = ( u l ( x ) , -\* , u,(x)).