2024-03-29T08:13:52Z
https://kitami-it.repo.nii.ac.jp/oai
oai:kitami-it.repo.nii.ac.jp:02000210
2022-12-13T02:20:03Z
1:87
A WELL-POSEDNESS FOR THE REACTION DIFFUSION EQUATIONS OF BELOUSOV-ZHABOTINSKY REACTION
The time-global existence of unique smooth positive solutions to the reaction diffusion equations
of the Keener-Tyson model for the Belousov-Zhabotinsky reaction in the whole space is
established with bounded non-negative initial data. Deriving estimates of semigroups and time
evolution operators, and applying the maximum principle, the unique existence and the positivity
of solutions are ensured by construction of time-local solutions from certain successive
approximation. Invariant regions and large time behavior of solutions are also discussed
Departments of Mathematics of Osaka University
Osaka Metropolitan University
2021-01
eng
journal article
VoR
https://kitami-it.repo.nii.ac.jp/records/2000210
https://doi.org/10.18910/78991
0030-6126
Osaka Journal of Mathematics
58
59
70
https://kitami-it.repo.nii.ac.jp/record/2000210/files/01-ojm58_01_059 .pdf
application/pdf
116 KB
2022-05-20