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Two-dimensional diffusion model for monomolecular decomposition

✍ Scribed by S. I. Vashukov; V. A. Emel'kin

Book ID
112377742
Publisher
Springer
Year
1989
Tongue
English
Weight
538 KB
Volume
25
Category
Article
ISSN
0040-5760

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## Abstract In this paper we study the Cauchy problem for the fractional diffusion equation __u__~__t__~ + (βˆ’Ξ”)^Ξ±/2^__u__=βˆ‡Β·(__u__βˆ‡(Ξ”^βˆ’1^__u__)), generalizing the Keller–Segel model of chemotaxis, for the initial data __u__~0~ in critical Besov spaces __αΈ‚__(ℝ^2^) with __r__∈[1, ∞], where 1<Ξ±<2. Mak