Periodic measures of reaction-diffusion lattice systems driven by superlinear noise | Zendy

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Periodic measures of reaction-diffusion lattice systems driven by superlinear noise

Author(s) -

Yusen Lin

Publication year - 2021

Publication title -

electronic research archive

Language(s) - English

Resource type - Journals

ISSN - 2688-1594

DOI - 10.3934/era.2022002

Subject(s) - lattice (music) , reaction–diffusion system , mathematics , statistical physics , crystal system , diffusion , pure mathematics , physics , mathematical analysis , chemistry , quantum mechanics , crystallography , crystal structure , acoustics

The periodic measures are investigated for a class of reaction-diffusion lattice systems driven by superlinear noise defined on $ \mathbb Z^k $. The existence of periodic measures for the lattice systems is established in $ l^2 $ by Krylov-Bogolyubov's method. The idea of uniform estimates on the tails of solutions is employed to establish the tightness of a family of distribution laws of the solutions.

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