arXiv Analytics

Sign in

arXiv:1805.12283 [math.AP]AbstractReferencesReviewsResources

Schauder Type Estimates for a Class of Hypoelliptic Operators

Chengyang Shao

Published 2018-05-31Version 1

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.

Related articles: Most relevant | Search more
arXiv:1509.08791 [math.AP] (Published 2015-09-29)
On Div-Curl for Higher Order
arXiv:1806.05593 [math.AP] (Published 2018-06-14)
Neumann conditions for the higher order $s$-fractional Laplacian $(-Δ)^su$ with $s>1$
arXiv:2005.02584 [math.AP] (Published 2020-05-06)
Generalized Evans--Krylov and Schauder type estimates for nonlocal fully nonlinear equations with rough kernels of variable orders