Special Session 9: Stochastic Analysis and Large Scale Interacting Systems

A regularity structure for the quasilinear generalized KPZ equation

Masato Hoshino
Osaka University
Japan
Co-Author(s):    Ismael Bailleul and Seiichiro Kusuoka
Abstract:
We prove the local well-posedness of a regularity structure formulation of the quasilinear generalized KPZ equation and give an explicit form of the renormalized equation in the full subcritical regime. Our formulation is different from the ones by Gerencs\`er and Hairer and by Otto, Sauer, Smith, and Weber.