Value range of solutions to the chordal Loewner equation with restriction on the driving function

Abstract

We consider a value range {g(i,T)} of solutions to the chordal Loewner equation with the restriction |λ(t)| <= c on the driving function. We use reachable set methods and the Pontryagin maximum principle.

Keywords

• Oscillation
• Fractional partial differential equation
• Hybrid differential equation
• impulse
• Value range
• Loewner equation
• Hamilton function
• Pontryagin maximum principle