caa a22 4500 475839315 CHVBK 20180406123857.0 cr unu---uuuuu 170329e20000901xx s 000 0 eng 10.1023/A:1010708800964 doi (NATIONALLICENCE)springer-10.1023/A:1010708800964 Shigekawa Ichiro Department of Mathematics, Graduate School of Science, Kyoto University, 606-8502, Kyoto, Japan. e-mail aut Semigroup Domination on a Riemannian Manifold with Boundary [Elektronische Daten] [Ichiro Shigekawa] 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. Kluwer Academic Publishers, 2000 semigroup domination nationallicence Hodge-Kodaira Laplacian nationallicence absolute boundary condition nationallicence relative boundary condition nationallicence Acta Applicandae Mathematica Kluwer Academic Publishers 63/1-3(2000-09-01), 385-410 0167-8019 63:1-3<385 2000 63 10440 https://doi.org/10.1023/A:1010708800964 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1010708800964 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Shigekawa Ichiro Department of Mathematics, Graduate School of Science, Kyoto University, 606-8502, Kyoto, Japan. e-mail aut NATIONALLICENCE 773 0- Acta Applicandae Mathematica Kluwer Academic Publishers 63/1-3(2000-09-01), 385-410 0167-8019 63:1-3<385 2000 63 10440 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer