English

On Bellman's equations with VMO coefficients

Analysis of PDEs 2010-01-12 v2

Abstract

We present a result about solvability in Wp2W^{2}_{p}, p>dp>d, in the whole space \bRd\bR^{d} of Bellman's equations with VMO ``coefficients''. Parabolic equations are touched upon as well.

Cite

@article{arxiv.0912.4987,
  title  = {On Bellman's equations with VMO coefficients},
  author = {N. V. Krylov},
  journal= {arXiv preprint arXiv:0912.4987},
  year   = {2010}
}

Comments

18 pages. An arithmetical error spotted and its negligent bearing on the proof of Theorem 4.1 is taken into account

R2 v1 2026-06-21T14:28:27.103Z