𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Asymptotic decay for the solutions of th
✍ Lucilla Corrias; Benoǐt Perthame 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 273 KB

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

Interior C1, γ-regularity for weak solut
✍ Josef Daněček; Oldřich John; Jana Stará 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 176 KB

## 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

Strong solutions to the Keller-Segel sys
✍ Hideo Kozono; Yoshie Sugiyama 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 249 KB

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.