Regularization in Keller-Segel type systems and the De Giorgi method

DOI10.4310/CMS.2012.v10.n2.a2zbMath1288.35146OpenAlexW2325458994MaRDI QIDQ389958

Alexis F. Vasseur, Perthame, Benoît

Publication date: 22 January 2014

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: http://intlpress.com/site/pub/pages/journals/items/cms/content/vols/0010/0002/a002/index.html

zbMATH Keywords

entropy methodsPDE-ODE systemregularizing effectshypercontractivityhaptotaxis and angiogenesisnonlinear Fokker-Planck system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59)

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