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Twice differentiability of solutions to fully nonlinear parabolic equations near the boundary.

Authors :
Adimurthi, Karthik
Banerjee, Agnid
Verma, Ram Baran
Source :
Nonlinear Analysis. Aug2020, Vol. 197, pN.PAG-N.PAG. 1p.
Publication Year :
2020

Abstract

In this paper, we prove H 2 + α regularity for viscosity solutions to non-convex fully nonlinear parabolic equations near the boundary. This constitutes the parabolic counterpart of a similar C 2 , α regularity result due to Silvestre and Sirakov proved in [17] for solutions to non-convex fully nonlinear elliptic equations. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0362546X
Volume :
197
Database :
Academic Search Index
Journal :
Nonlinear Analysis
Publication Type :
Academic Journal
Accession number :
143385628
Full Text :
https://doi.org/10.1016/j.na.2020.111830