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Asymptotical almost periodicity of solutions to the Keller-Segel system on real hyperbolic manifolds
In this article, we shall study the Keller-Segel system on a real hyperbolic space which is one class of Riemannian manifolds with Ricci curvature -1. We prove the existence, uniqueness of asymptotically almost periodic solutions for the linear equations by using dispersive and smoothing properties of the heat semigroup.
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