Upper bound on heat kernels of finite particle systems of Keller-Segel type
S. E. Boutiah, D. Kinzebulatov
公開日: 2025/8/14
Abstract
We obtain an upper bound on the heat kernel of the Keller-Segel finite particle system that exhibits blow up effects. The proof exploits a connection between Keller-Segel finite particles and certain non-local operators. The latter allows to address some aspects of the critical behaviour of the Keller-Segel system resulting from its two-dimensionality.