Statements (30)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
partial differential equations
|
| gptkbp:category |
mathematical physics
partial differential equations |
| gptkbp:dimensions |
any number of dimensions
|
| gptkbp:field |
gptkb:mathematics
engineering physics |
| gptkbp:firstPublished |
1782
|
| gptkbp:form |
∇²φ = 0
|
| gptkbp:hasInvariant |
translator
scaling rotation |
| gptkbp:hasSpecialCase |
gptkb:Poisson_equation
|
| https://www.w3.org/2000/01/rdf-schema#label |
Laplace equation
|
| gptkbp:namedAfter |
gptkb:Pierre-Simon_Laplace
|
| gptkbp:order |
second
|
| gptkbp:relatedTo |
gptkb:Dirichlet_problem
gptkb:Neumann_problem gptkb:Green's_function |
| gptkbp:solutionCalled |
harmonic function
|
| gptkbp:type |
elliptic partial differential equation
|
| gptkbp:usedIn |
fluid dynamics
potential theory electrostatics steady-state heat conduction gravitational fields |
| gptkbp:bfsParent |
gptkb:Weyl's_lemma
gptkb:Helmholtz_equation gptkb:Differential_equations |
| gptkbp:bfsLayer |
5
|