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Strictly elliptic operators with Dirichlet boundary conditions on spaces of continuous functions on manifolds
We study strictly elliptic differential operators with Dirichlet boundary conditions on the space C ( M ¯ ) of continuous functions on a compact Riemannian manifold M ¯ with boundary and prove sectoriality with optimal angle π 2 .
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Published in: | Journal of evolution equations 2020-09, Vol.20 (3), p.1005-1028 |
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container_end_page | 1028 |
container_issue | 3 |
container_start_page | 1005 |
container_title | Journal of evolution equations |
container_volume | 20 |
creator | Binz, Tim |
description | We study strictly elliptic differential operators with Dirichlet boundary conditions on the space
C
(
M
¯
)
of continuous functions on a compact Riemannian manifold
M
¯
with boundary and prove sectoriality with optimal angle
π
2
. |
doi_str_mv | 10.1007/s00028-019-00548-y |
format | article |
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C
(
M
¯
)
of continuous functions on a compact Riemannian manifold
M
¯
with boundary and prove sectoriality with optimal angle
π
2
.</description><identifier>ISSN: 1424-3199</identifier><identifier>EISSN: 1424-3202</identifier><identifier>DOI: 10.1007/s00028-019-00548-y</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Analysis ; Boundary conditions ; Continuity (mathematics) ; Differential equations ; Dirichlet problem ; Mathematics ; Mathematics and Statistics ; Operators (mathematics) ; Riemann manifold</subject><ispartof>Journal of evolution equations, 2020-09, Vol.20 (3), p.1005-1028</ispartof><rights>Springer Nature Switzerland AG 2019</rights><rights>Springer Nature Switzerland AG 2019.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-3b8cd4b319d3ea08b30f094f273f959718081b3b332b438daa9513d578019b713</citedby><cites>FETCH-LOGICAL-c319t-3b8cd4b319d3ea08b30f094f273f959718081b3b332b438daa9513d578019b713</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Binz, Tim</creatorcontrib><title>Strictly elliptic operators with Dirichlet boundary conditions on spaces of continuous functions on manifolds</title><title>Journal of evolution equations</title><addtitle>J. Evol. Equ</addtitle><description>We study strictly elliptic differential operators with Dirichlet boundary conditions on the space
C
(
M
¯
)
of continuous functions on a compact Riemannian manifold
M
¯
with boundary and prove sectoriality with optimal angle
π
2
.</description><subject>Analysis</subject><subject>Boundary conditions</subject><subject>Continuity (mathematics)</subject><subject>Differential equations</subject><subject>Dirichlet problem</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Operators (mathematics)</subject><subject>Riemann manifold</subject><issn>1424-3199</issn><issn>1424-3202</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp9kEtPxCAUhYnRxHH0D7gicV29QGvp0ozPxMSFuiaUgsOkAxVoTP-9jPWxc8UJ-c659x6ETgmcE4D6IgIA5QWQpgCoSl5Me2hBSloWjALd_9GkaQ7RUYwbAFJXvFqg7XMKVqV-wrrv7ZCswn7QQSYfIv6waY2vbQbWvU649aPrZJiw8q6zyXoXsXc4DlLprMzuP1k3-jFiMzr1S2yls8b3XTxGB0b2UZ98v0v0envzsrovHp_uHlZXj4XKK6aCtVx1ZZt1x7QE3jIw0JSG1sw0VVMTDpy0rGWMtiXjnZRNRVhX1TwX0NaELdHZnDsE_z7qmMTGj8HlkYJmAyXskjeZojOlgo8xaCOGYLf5QEFA7GoVc60ip4qvWsWUTWw2xQy7Nx3-ov9xfQKNtXz5</recordid><startdate>20200901</startdate><enddate>20200901</enddate><creator>Binz, Tim</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20200901</creationdate><title>Strictly elliptic operators with Dirichlet boundary conditions on spaces of continuous functions on manifolds</title><author>Binz, Tim</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-3b8cd4b319d3ea08b30f094f273f959718081b3b332b438daa9513d578019b713</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Analysis</topic><topic>Boundary conditions</topic><topic>Continuity (mathematics)</topic><topic>Differential equations</topic><topic>Dirichlet problem</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Operators (mathematics)</topic><topic>Riemann manifold</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Binz, Tim</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of evolution equations</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Binz, Tim</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Strictly elliptic operators with Dirichlet boundary conditions on spaces of continuous functions on manifolds</atitle><jtitle>Journal of evolution equations</jtitle><stitle>J. Evol. Equ</stitle><date>2020-09-01</date><risdate>2020</risdate><volume>20</volume><issue>3</issue><spage>1005</spage><epage>1028</epage><pages>1005-1028</pages><issn>1424-3199</issn><eissn>1424-3202</eissn><abstract>We study strictly elliptic differential operators with Dirichlet boundary conditions on the space
C
(
M
¯
)
of continuous functions on a compact Riemannian manifold
M
¯
with boundary and prove sectoriality with optimal angle
π
2
.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s00028-019-00548-y</doi><tpages>24</tpages></addata></record> |
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ispartof | Journal of evolution equations, 2020-09, Vol.20 (3), p.1005-1028 |
issn | 1424-3199 1424-3202 |
language | eng |
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source | Springer Nature |
subjects | Analysis Boundary conditions Continuity (mathematics) Differential equations Dirichlet problem Mathematics Mathematics and Statistics Operators (mathematics) Riemann manifold |
title | Strictly elliptic operators with Dirichlet boundary conditions on spaces of continuous functions on manifolds |
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