Aronson-Bénilan type estimate and the optimal Hölder continuity of weak solutions for the 1-D degenerate Keller-Segel systems

DOI10.4171/RMI/620zbMath1213.35154MaRDI QIDQ616600

Yoshie Sugiyama

Publication date: 10 January 2011

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1282913825

zbMATH Keywords

interfaceparabolic system of degenerate type

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17)

Related Items (4)

Finite speed of propagation in 1-D degenerate Keller-Segel system ⋮ Uniqueness theorem on weak solutions to the Keller-Segel system of degenerate and singular types ⋮ Interfaces for 1-D degenerate Keller-Segel systems ⋮ Uniqueness and regularity of weak solutions for the 1-D degenerate Keller-Segel systems

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