# American Institute of Mathematical Sciences

November  2018, 17(6): 2495-2516. doi: 10.3934/cpaa.2018119

## Uniqueness for Lp-viscosity solutions for uniformly parabolic Isaacs equations with measurable lower order terms

 127 Vincent Hall, University of Minnesota, Minneapolis, MN, 55455

Received  October 2017 Revised  February 2018 Published  June 2018

In this article we present several results concerning uniqueness of $C$-viscosity and $L_{p}$-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 Hölder continuous in $x$ with exponent slightly less than $1/2$. This case is treated by using stability of maximal and minimal $L_{p}$-viscosity solutions.

Citation: N. V. Krylov. Uniqueness for Lp-viscosity solutions for uniformly parabolic Isaacs equations with measurable lower order terms. Communications on Pure & Applied Analysis, 2018, 17 (6) : 2495-2516. doi: 10.3934/cpaa.2018119
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