Smoothing of quasilinear parabolic operators and applications to forward-backward stochastic systems (Q2504028)

The authors study the Cauchy problem for a certain quasilinear parabolic equation with quadratic nonlinearity in the gradient and with Hölder-continuous, not necessarily differentiable, initial datum, under suitable regularity and growth assumptions on the nonlinear functions involved therein. An application to stochastic forward-backward systems is also discussed.