@article{oai:kitami-it.repo.nii.ac.jp:02000210, journal = {Osaka Journal of Mathematics}, month = {Jan}, note = {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}, pages = {59--70}, title = {A WELL-POSEDNESS FOR THE REACTION DIFFUSION EQUATIONS OF BELOUSOV-ZHABOTINSKY REACTION}, volume = {58}, year = {2021} }