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Global strong solution to the semi-linear Keller–Segel system of parabolic–parabolic type with small data in scale invariant spaces by Hideo Kozono; Yoshie Sugiyama is a Mathematics article available to read on EtoBox.
What is Global strong solution to the semi-linear Keller–Segel system of parabolic–parabolic type with small data in scale invariant spaces about?
We shall show existence of global strong solution to the semilinear Keller-Segel system in R n , n 3, of parabolic-parabolic type with small initial data Our method is based on the perturbation of linealization together with the L p -L q estimates of the heat semigroup and the fractional powers of the Laplace operator. As a by-product of our method, we shall prove the decay property of solutions as the time goes to infinity.
Who reads Global strong solution to the semi-linear Keller–Segel system of parabolic–parabolic type with small data in scale invariant spaces?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Hideo Kozono; Yoshie Sugiyama
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-0396)
- Published
- 2009
- Language
- EN
- Field
- Mathematics (Physical Sciences)