Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
function space
|
| gptkbp:alsoKnownAs |
gptkb:Hölder_spaces
|
| gptkbp:application |
regularity theory
elliptic PDEs parabolic PDEs |
| gptkbp:consistsOf |
functions with k continuous derivatives
k-th derivatives are Hölder continuous with exponent α |
| gptkbp:domain |
open subset Ω of R^n
|
| gptkbp:generalizes |
gptkb:Lipschitz_spaces
C^k spaces |
| https://www.w3.org/2000/01/rdf-schema#label |
C^{k,α} spaces
|
| gptkbp:importantFor |
gptkb:Hilbert_space
|
| gptkbp:kraj |
non-negative integer
|
| gptkbp:namedAfter |
gptkb:Otto_Hölder
|
| gptkbp:norm |
sum of C^k norm and Hölder seminorm
|
| gptkbp:notation |
C^{k,α}(Ω)
|
| gptkbp:parameter |
α
k |
| gptkbp:usedIn |
analysis
partial differential equations |
| gptkbp:α |
real number in (0,1]
|
| gptkbp:bfsParent |
gptkb:Hölder_spaces
|
| gptkbp:bfsLayer |
7
|