Hölder gradient estimates on $$L^p$$ L p -viscosity solutions of fully nonlinear parabolic equations with VMO coefficients

Shota Tateyama ()
Additional contact information
Shota Tateyama: The University of Tokyo

Partial Differential Equations and Applications, 2021, vol. 2, issue 6, 1-22

Abstract: Abstract The local Hölder continuity estimate on the space derivative of $$L^p$$ L p -viscosity solutions of fully nonlinear uniformly second-order parabolic partial differential equations with coefficients in vanishing mean oscillation in the space variables is established when $$p>n+2$$ p > n + 2 .

Keywords: Fully nonlinear parabolic equations; Regularity of solutions; Viscosity solutions; Vanishing mean oscillation; 35K55; 35B65; 35D40; 35K10 (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s42985-021-00133-4 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:pardea:v:2:y:2021:i:6:d:10.1007_s42985-021-00133-4

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/42985/

DOI: 10.1007/s42985-021-00133-4

Access Statistics for this article

Partial Differential Equations and Applications is currently edited by Zhitao Zhang

More articles in Partial Differential Equations and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().