Schauder Type Estimates for a Class of Hypoelliptic Operators

Abstract

The present paper aims to generalize the Schauder estimate for a class of higher-order hypo-elliptic operators. The results in the present paper apply to parabolic equations of higher order and, for example, operators like ${\partial }_t^2-{\partial }_x^3$. Generalization to systems is also directly obtained.

References in corpus (1)

• On $C^1$, $C^2$, and weak type-$(1,1)$ estimates for linear elliptic operators