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The semigroup
generated by the Dirichlet Laplacian of fractional order
Tsukasa Iwabuchi |
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Vol. 11 (2018), No. 3, 683–703
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Abstract |
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In the whole space , linear estimates for heat semigroup in Besov spaces are well established, which are estimates of type, with maximal regularity, etc. This paper is concerned with such estimates for the semigroup generated by the Dirichlet Laplacian of fractional order in terms of the Besov spaces on an arbitrary open set of . |
Keywords
semigroup, Dirichlet Laplacian, Besov spaces
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Mathematical Subject Classification 2010
Primary: 35R11
Secondary: 35K08
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Milestones
Received: 4 January 2017
Revised: 30 August 2017
Accepted: 16 October 2017
Published: 22 November 2017
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Authors |
| Tsukasa Iwabuchi | |
| Mathematical Institute Tohoku University Sendai Japan |
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