De Giorgi–Nash–Moser Theorem
GPTKB entity
Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
elliptic partial differential equations
parabolic partial differential equations |
| gptkbp:concerns |
regularity theory
|
| gptkbp:establishes |
Hölder continuity of solutions
|
| gptkbp:field |
partial differential equations
|
| https://www.w3.org/2000/01/rdf-schema#label |
De Giorgi–Nash–Moser Theorem
|
| gptkbp:implies |
solutions are locally Hölder continuous
|
| gptkbp:namedAfter |
gptkb:Jürgen_Moser
gptkb:John_Nash gptkb:Ennio_De_Giorgi |
| gptkbp:provenIndependentlyBy |
gptkb:Jürgen_Moser
gptkb:John_Nash gptkb:Ennio_De_Giorgi |
| gptkbp:relatedTo |
gptkb:Sobolev_spaces
gptkb:Harnack_inequality weak solutions |
| gptkbp:significance |
fundamental result in modern analysis
|
| gptkbp:usedIn |
analysis of regularity of PDEs
|
| gptkbp:yearProved |
1957
|
| gptkbp:bfsParent |
gptkb:Regularity_Theory
|
| gptkbp:bfsLayer |
7
|