The semigroup generated by the Dirichlet Laplacian of fractional order

Tsukasa Iwabuchi

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arXiv · 1712.05565

The semigroup generated by the Dirichlet Laplacian of fractional order

Tsukasa Iwabuchi

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Abstract

In the whole space $\mathbb R^d$, linear estimates for heat semi-group in Besov spaces are well established, which are estimates of $L^p$-$L^q$ type, maximal regularity, e.t.c. This paper is concerned with such estimates for semi-group generated by the Dirichlet Laplacian of fractional order in terms of the Besov spaces on an arbitrary open set of $\mathbb R^d$.

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Tsukasa Iwabuchi. 2017-12-15. The semigroup generated by the Dirichlet Laplacian of fractional order. https://arxiv.org/abs/1712.05565

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