Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
partial differential equations
|
| gptkbp:concerns |
gptkb:Sobolev_spaces
embedding function spaces |
| gptkbp:field |
functional analysis
mathematical analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Sobolev embedding theorem
|
| gptkbp:implies |
regularity of solutions
|
| gptkbp:namedAfter |
gptkb:Sergei_Sobolev
|
| gptkbp:publishedIn |
1930s
|
| gptkbp:relatedTo |
gptkb:Gagliardo–Nirenberg_interpolation_inequality
gptkb:Rellich–Kondrachov_theorem gptkb:Morrey's_inequality |
| gptkbp:state |
Certain Sobolev spaces are continuously embedded in other function spaces
|
| gptkbp:usedIn |
calculus of variations
mathematical physics PDE theory |
| gptkbp:bfsParent |
gptkb:Hardy–Littlewood–Sobolev_inequality
gptkb:Moser–Trudinger_inequality gptkb:Brezis–Nirenberg_problem gptkb:Sergei_Sobolev |
| gptkbp:bfsLayer |
6
|