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arXiv · 1710.09353

Uniqueness for $L_{p}$-viscosity solutions for uniformly parabolic Isaacs equations with measurable lower order terms

N. V. Krylov
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Abstract

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 H\"older 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.

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N. V. Krylov. 2017-10-25. Uniqueness for $L_{p}$-viscosity solutions for uniformly parabolic Isaacs equations with measurable lower order terms. https://arxiv.org/abs/1710.09353

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