Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Hilbert_spaces
|
| gptkbp:category |
theorems in analysis
theorems in functional analysis |
| gptkbp:concerns |
bounded linear operators
coercive bilinear forms existence and uniqueness of solutions |
| gptkbp:field |
functional analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Lax–Milgram theorem
|
| gptkbp:namedAfter |
gptkb:Peter_Lax
gptkb:Arthur_Milgram |
| gptkbp:state |
If a bilinear form is bounded and coercive on a Hilbert space, then for every bounded linear functional there exists a unique solution.
|
| gptkbp:usedIn |
partial differential equations
finite element method variational methods |
| gptkbp:yearProved |
1954
|
| gptkbp:bfsParent |
gptkb:Peter_Lax
|
| gptkbp:bfsLayer |
5
|