English

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 CC-viscosity and LpL_{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 xx with exponent slightly less than 1/21/2. This case is treated by using stability of maximal and minimal LpL_{p}-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