Space–time analytic smoothing effect of the heat semigroup defined on homogeneous Besov spaces

We refine the decay estimate of the heat semigroup {T(t)}t≥0defined on homogeneous Besov spaces Ḃp,qs(Rn)for s∈R,p,q∈[1,∞], which is obtained by Kozono et al. (2003). In particular, we give an explicit representation of a constant appeared in the decay estimate of {T(t)}t≥0, which provides a space–...

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Bibliographic Details
Main Author: Taiki Takeuchi
Format: Article
Language:English
Published: Elsevier 2021-12-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818121000917