Sobolev Spaces

Svetlin G. Georgiev ()
Additional contact information
Svetlin G. Georgiev: University of Sofia “St. Kliment Ohridski”, Department of Differential Equations Faculty of Mathematics and Informatics

Chapter Chapter 10 in Theory of Distributions, 2021, pp 231-258 from Springer

Abstract: Abstract In this chapter we introduce Sobolev spaces and we deduct some of their basic properties. They are investigated approximations by smooth functions and it is proved the main extension theorem. It is defined a trace of an element of a Sobolev space and it is proved the trace theorem. In the chapter are deducted the Gagliardo-Nirenberg-Sobolev inequality, the Morrey inequality and the Poincaré inequality.

Keywords: Sobolev space; Trace; Gagliardo-Nirenberg-Sobolev inequality; Morrey inequality; Poincaré inequality (search for similar items in EconPapers)
Date: 2021
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-81265-2_10

Ordering information: This item can be ordered from
http://www.springer.com/9783030812652

DOI: 10.1007/978-3-030-81265-2_10

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().