Loewner equation

DefinitionClosed half-plane above a horizontal line#✓fully proved

The closed strip {w ∈ ℂ : δ ≤ Im w}.

def loewnerStrip (δ : ℝ) : Set ℂ := {w : ℂ | δ ≤ w.im}

Used by 7

Used byLocal existence for the chordal Loewner equation · Local existence and uniqueness for the chordal Loewner equation · Maximal solution of the chordal Loewner equation · Loewner map as a homeomorphism onto the half-plane · Inverse of the maximal Loewner map · Maximal Loewner maps solve the maximal Loewner equation · Loewner hulls are compact hulls

• Basic objects of the chordal Loewner equation
• Local existence and uniqueness for the chordal Loewner equation
• Elementary properties of Loewner solutions and of half-plane capacity
• Maximal solutions of the chordal Loewner equation and the Loewner hulls

The dependency explorer needs JavaScript and its graph data.

Download the complete graph data.