arXiv Analytics

Sign in

arXiv:1806.00077 [math.AP]AbstractReferencesReviewsResources

Fully nonlinear elliptic and parabolic equations in weighted and mixed-norm Sobolev spaces

Hongjie Dong, N. V. Krylov

Published 2018-05-31Version 1

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.

Related articles: Most relevant | Search more
arXiv:2006.03966 [math.AP] (Published 2020-06-06)
Recent progress in the $L_p$ theory for elliptic and parabolic equations with discontinuous coefficients
arXiv:0705.3808 [math.AP] (Published 2007-05-25)
Parabolic equations with measurable coefficients in $L_p$-spaces with mixed norms
arXiv:1604.03825 [math.AP] (Published 2016-04-13)
Symmetrization and anti-symmetrization in parabolic equations