Loewner differential equation
GPTKB entity
Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Löwner_equation
|
| gptkbp:appliesTo |
gptkb:probability_theory
statistical physics |
| gptkbp:describes |
evolution of conformal maps
|
| gptkbp:field |
complex analysis
|
| gptkbp:form |
\frac{\partial f_t(z)}{\partial t} = z \frac{\partial f_t(z)}{\partial z} p(z,t)
|
| gptkbp:generalizes |
gptkb:chordal_Loewner_equation
gptkb:radial_Loewner_equation |
| gptkbp:introduced |
gptkb:Karl_Löwner
|
| gptkbp:introducedIn |
1923
|
| gptkbp:location |
p(z,t) is analytic with Re(p(z,t)) > 0
|
| gptkbp:relatedTo |
gptkb:Bieberbach_conjecture
univalent functions |
| gptkbp:type |
gptkb:partial_differential_equations
|
| gptkbp:usedIn |
gptkb:geometric_function_theory
gptkb:Schramm–Loewner_evolution conformal mapping |
| gptkbp:bfsParent |
gptkb:Charles_Loewner
|
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
Loewner differential equation
|