Uniqueness for $L_{p}$-viscosity solutions for uniformly parabolic Isaacs equations with measurable lower order terms
Analysis of PDEs
2017-11-28 v2
Abstract
In this article we present several results concerning uniqueness of -viscosity and -viscosity solutions for fully nonlinear parabolic equations. In case of the Isaacs equations we allow lower order terms to have just measurable bounded coefficients. Higher-order coefficients are assumed to be H\"older continuous in with exponent slightly less than . This case is treated by using stability of maximal and minimal -viscosity solutions.
Keywords
Cite
@article{arxiv.1710.09353,
title = {Uniqueness for $L_{p}$-viscosity solutions for uniformly parabolic Isaacs equations with measurable lower order terms},
author = {N. V. Krylov},
journal= {arXiv preprint arXiv:1710.09353},
year = {2017}
}
Comments
27 p, a few inconsistencies are corrected