On Bellman's equations with VMO coefficients

2009/12/25 by Н. В. Крылов, Krylov, N. V.
Computer Science · Mathematics · #35J60 #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.0912.4987

openalex publication_date 2009/12/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a result about solvability in W²_p, p>d, in the whole space \bR^d of Bellman's equations with VMO ``coefficients''. Parabolic equations are touched upon as well.

Related

• Parabolic equations with variably partially VMO coefficients
• Second-order elliptic equations with variably partially VMO coefficients
• On fully nonlinear elliptic and parabolic equations in domains with VMO coefficients
• Second-order elliptic and parabolic equations with B(\mathbb R², VMO) coefficients
• On divergence form SPDEs with VMO coefficients in a half space