Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
analytic partial differential equations
|
| gptkbp:category |
existence and uniqueness theorems
|
| gptkbp:field |
gptkb:mathematics
partial differential equations |
| gptkbp:generalizes |
gptkb:Cauchy–Kowalevski–Kashiwara_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cauchy–Kowalevski theorem
|
| gptkbp:importantFor |
guarantees local existence and uniqueness of solutions
|
| gptkbp:language |
gptkb:French
|
| gptkbp:namedAfter |
gptkb:Augustin-Louis_Cauchy
gptkb:Sofia_Kovalevskaya |
| gptkbp:originallyProvedBy |
gptkb:Augustin-Louis_Cauchy
|
| gptkbp:publicationYear |
1875
|
| gptkbp:state |
If the coefficients of a partial differential equation and the initial data are analytic, then there exists a unique analytic solution locally.
|
| gptkbp:bfsParent |
gptkb:Augustin-Louis_Cauchy
|
| gptkbp:bfsLayer |
5
|