Semigroup Domination on a Riemannian Manifold with Boundary

Ichiro Shigekawa ()
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Ichiro Shigekawa: Kyoto University, Department of Mathematics, Graduate School of Science

A chapter in Recent Developments in Infinite-Dimensional Analysis and Quantum Probability, 2001, pp 385-410 from Springer

Abstract: Abstract We discuss the semigroup domination on a Riemannian manifold with boundary. Our main interest is the Hodge-Kodaira Laplacian for differential forms. We consider two kinds of boundary conditions; the absolutely boundary condition and the relative boundary condition. Our main tool is the square field operator. We also develop a general theory of semigroup commutation.

Keywords: 60J60; 58G32; semigroup domination; Hodge-Kodaira Laplacian; absolute boundary condition; relative boundary condition (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-010-0842-6_28

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DOI: 10.1007/978-94-010-0842-6_28

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