AI-created image
Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:partial_differential_equations
|
| gptkbp:category |
gptkb:partial_differential_equations
mathematical physics potential theory |
| gptkbp:dimensions |
any number of dimensions
|
| gptkbp:field |
gptkb:mathematics
engineering physics |
| gptkbp:firstPublished |
1782
|
| gptkbp:form |
∇²φ = 0
|
| gptkbp:hasSpecialCase |
gptkb:Poisson's_equation
|
| gptkbp:namedAfter |
gptkb:Pierre-Simon_Laplace
|
| gptkbp:solutionCalled |
harmonic function
|
| gptkbp:type |
elliptic partial differential equation
|
| gptkbp:usedIn |
gptkb:gravitational_potential_theory
fluid dynamics electrostatics steady-state heat conduction |
| gptkbp:bfsParent |
gptkb:Ivory's_theorem
gptkb:Kelvin's_method_of_images gptkb:Kelvin_transform gptkb:Pierre-Simon_Laplace |
| gptkbp:bfsLayer |
5
|
| https://www.w3.org/2000/01/rdf-schema#label |
Laplace's equation
|