On Bellman's equations with VMO coefficients

Mathematics – Analysis of PDEs

Scientific paper

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

Scientific paper

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

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