Degenerate parabolic equation with critical exponent derived from the kinetic theory. III: \(\varepsilon \)-regularity.

zbMath1265.35130MaRDI QIDQ454513

Takashi Suzuki, Ryo Takahashi

Publication date: 8 October 2012

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

blow-uplocal estimatesnonlocal drift-diffusion equation

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic systems (35K45) Blow-up in context of PDEs (35B44)

Related Items (3)

Finite time blow up and non-uniform bound for solutions to a degenerate drift-diffusion equation with the mass critical exponent under non-weight condition ⋮ Blow-up behavior of solutions to a degenerate parabolic-parabolic Keller-Segel system ⋮ The rate of concentration for the radially symmetric solution to a degenerate drift-diffusion equation with the mass critical exponent

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