Fully nonlinear elliptic and parabolic equations in weighted and mixed-norm Sobolev spaces
Analysis of PDEs
2018-06-04 v1
Abstract
We prove weighted and mixed-norm Sobolev estimates for fully nonlinear elliptic and parabolic equations in the whole space under a relaxed convexity condition with almost VMO dependence on space-time variables. The corresponding interior and boundary estimates are also obtained.
Keywords
Cite
@article{arxiv.1806.00077,
title = {Fully nonlinear elliptic and parabolic equations in weighted and mixed-norm Sobolev spaces},
author = {Hongjie Dong and N. V. Krylov},
journal= {arXiv preprint arXiv:1806.00077},
year = {2018}
}
Comments
33 Pages, submitted