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

Banach Center Publications (2008)

- Volume: 81, Issue: 1, page 421-431
- ISSN: 0137-6934

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topOkihiro 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 -

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