dc.contributor.author
Sánchez, D.C.
dc.contributor.author
Kumar, V.
dc.contributor.author
Ruzhansky, M.
dc.contributor.author
Tokmagambetov, N.
dc.date.accessioned
2023-08-29T08:22:12Z
dc.date.accessioned
2024-09-19T14:35:45Z
dc.date.available
2023-08-29T08:22:12Z
dc.date.available
2024-09-19T14:35:45Z
dc.date.issued
2023-06-20
dc.identifier.uri
http://hdl.handle.net/2072/536858
dc.description.abstract
Given a smooth manifold M (with or without boundary), in this paper we establish a global functional calculus, without the standard assumption that the operators are classical pseudo-differential operators, and the Gårding inequality for global pseudo-differential operators associated with boundary value problems. The analysis that we follow is free of local coordinate systems. Applications of the Gårding inequality to the global solvability for a class of evolution problems are also considered. © 2023, The Author(s).
eng
dc.description.sponsorship
The authors would like to thank the anonymous referees for several useful suggestions and comments, which greatly improved the presentation of this manuscript. The authors were supported by the FWO Odysseus 1 Grant G.0H94.18N: Analysis and Partial Differential Equations. M. Ruzhansky was also supported in parts by EPSRC Grant EP/R003025/2. NT was partly funded by the Committee of Science of the Ministry of Science and Higher Education of the Republic of Kazakhstan (Grant no. AP14872042).
dc.format.extent
47 p.
cat
dc.publisher
Springer (Birkhauser)
cat
dc.relation.ispartof
Advances in Operator Theory
cat
dc.rights
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: https://creativecommons.org/licenses/by/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Boundary value problems; Global analysis; Pseudo-differential operators
cat
dc.title
Global functional calculus, lower/upper bounds and evolution equations on manifolds with boundary
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/publishedVersion
cat
dc.identifier.doi
10.1007/s43036-023-00254-0
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
