Email this article C1+α-Regularity of Viscosity Solutions of General Nonlinear Parabolic Equations
- Authors: Krylov N.V.1
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Affiliations:
- University of Minnesota
- Issue: Vol 232, No 4 (2018)
- Pages: 403-427
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/241333
- DOI: https://doi.org/10.1007/s10958-018-3880-3
- ID: 241333
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Abstract
We establish the existence of C1+α-regular viscosity solutions of fully nonlinear secondorder parabolic equations like ∂tu+H(v,Dv,D2v, t, x) = 0 allowing the main part of H to have small discontinuities with respect to x and be just measurable in t.
About the authors
N. V. Krylov
University of Minnesota
Author for correspondence.
Email: nkrylov@umn.edu
United States, 127 Vincent Hall, Minneapolis, 55455
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