On the spatial analyticity of solutions to the Keller-Segel equations

• Autorzy: Okihiro Sawada
• Języki publikacji: EN

Abstrakty

EN

The regularizing rate of solutions to the Keller-Segel equations in the whole space is estimated just as for the heat equation. As an application of these rate estimates, it is proved that the solution is analytic in spatial variables. Spatial analyticity implies that the propagation speed is infinite, i.e., the support of the solution coincides with the whole space for any short time, even if the support of the initial datum is compact.

Kategorie tematyczne

• 35Q30: Navier-Stokes equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2008
• Tom: 81
• Numer: 1
• Strony: 421-431

Daty

wydano

2008

Twórcy

autor

Okihiro Sawada

• Department of Mathematical Science, Waseda University, Okubo 3-4-1, Shinjuku 169-8555, Tokyo, Japan

Identyfikatory

DOI

10.4064/bc81-0-25