| Contents |
| The Keller-Segel system contains several parameters which cause
numerous structures such as linear, degenerate and singular type of
PDE. In particular, the degenerate type contains the unknown function
as the coefficients breaking down uniform ellipticity, which makes the
problem more difficult in comparison with the other types.
The Keller-Segel system itself is characterized as the parabolic-parabolic and
parabolic-elliptic both of provide us an important research theme.
Indeed, we need to handle these types in accordance with the characteristic
features of equations. In this talk, we shall bring a focus onto the
parabolic-parabolic and parabolic-elliptic Keller-Segel systems of the singular and degenerate types and show uniqueness of weak solutions in the class of Hoelder continuous functions. |
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