The Friedrichs Extension of Elliptic Operators with Conditions on Submanifolds of Arbitrary Dimension

The Friedrichs Extension of Elliptic Operators with Conditions on Submanifolds of Arbitrary Dimension

We describe the Friedrichs extension of elliptic symmetric pseudodifferential operators on a closed smooth manifold with the domain consisting of functions vanishing on a given submanifold. In summary, the Friedrichs extension is an elliptic Sobolev problem defined in terms of boundary and coboundar...

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Bibliographic Details
Main Author: Anton Savin
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Mathematics
Subjects:
Friedrichs extension
Sobolev problems
boundary conditions on submanifolds
Online Access:https://www.mdpi.com/2227-7390/12/3/418

Internet

https://www.mdpi.com/2227-7390/12/3/418

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