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arxiv: 0812.4982 · v1 · submitted 2008-12-29 · 🧮 math.AP

Blow up of solutions to generalized Keller--Segel model

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keywords equationsmodelsolutionsblowchemotaxisclassdiffusionexistence
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The existence and nonexistence of global in time solutions is studied for a class of equations generalizing the chemotaxis model of Keller and Segel. These equations involve L\'evy diffusion operators and general potential type nonlinear terms.

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