Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
second-order parabolic partial differential equations
second-order elliptic partial differential equations |
| gptkbp:field |
gptkb:mathematics
partial differential equations |
| https://www.w3.org/2000/01/rdf-schema#label |
Hopf lemma
|
| gptkbp:importantFor |
crucial in the theory of elliptic and parabolic PDEs
|
| gptkbp:namedAfter |
gptkb:Eberhard_Hopf
|
| gptkbp:publishedIn |
1930s
|
| gptkbp:sentence |
If u is a function attaining a non-negative maximum at a boundary point and satisfies certain elliptic or parabolic PDEs, then the normal derivative at that point is strictly positive under suitable conditions.
|
| gptkbp:usedIn |
maximum principle
|
| gptkbp:bfsParent |
gptkb:Eberhard_Hopf
|
| gptkbp:bfsLayer |
6
|