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

Okihiro Sawada. "On the spatial analyticity of solutions to the Keller-Segel equations." Banach Center Publications 81.1 (2008): 421-431. <http://eudml.org/doc/281850>.

@article{OkihiroSawada2008,
abstract = {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.},
author = {Okihiro Sawada},
journal = {Banach Center Publications},
keywords = {Keller-Segel equations; regularizing rate; spatial analyticity; propagation speed},
language = {eng},
number = {1},
pages = {421-431},
title = {On the spatial analyticity of solutions to the Keller-Segel equations},
url = {http://eudml.org/doc/281850},
volume = {81},
year = {2008},
}

TY - JOUR
AU - Okihiro Sawada
TI - On the spatial analyticity of solutions to the Keller-Segel equations
JO - Banach Center Publications
PY - 2008
VL - 81
IS - 1
SP - 421
EP - 431
AB - 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.
LA - eng
KW - Keller-Segel equations; regularizing rate; spatial analyticity; propagation speed
UR - http://eudml.org/doc/281850
ER -