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math.AP2016★ 6 cited
The full Keller-Segel model is well-posed on nonsmooth domains
Dirk Horstmann, Hannes Meinlschmidt, Joachim Rehberg
In this paper we prove that the full Keller-Segel system, a quasilinear strongly coupled reaction-crossdiffusion system of four parabolic equations, is well-posed in space dimensio…
math.AP2016
On maximal parabolic regularity for non-autonomous parabolic operators
Karoline Disser, A. F. M. ter Elst, Joachim Rehberg
We consider linear inhomogeneous non-autonomous parabolic problems associated to sesquilinear forms, with discontinuous dependence of time. We show that for these problems, the pro…