Global functional calculus, lower/upper bounds and evolution equations on manifolds with boundary
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...
| Authors: | ; ; ; |
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| Format: | Article |
| Status: | Published version |
| Publication date: | 2023 |
| Country: | España |
| Institution: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repository: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2072/536858 |
| Online Access: | http://hdl.handle.net/2072/536858 |
| Access Level: | Open access |
| Keyword: | Boundary value problems Global analysis Pseudo-differential operators |
| Summary: | 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). |
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