A very mild and selective method for O-benzoylation of hydroxamic acids
Abstract Selective O-benzoylation of hydroxamic acids is achieved by the treatment of BPO and DABCO. Aliphatic alcohols are not reactive under these conditions. Various radical or oxidation sensitive functional groups are compatible with this protocol, and no anhydrous reagents or solvents are required for the high yields of the benzoylations.
One way to compute optimal control in completely observable stochastic optimal control problems is to solve the Hamilton-Jacobi Equation. We propose to replace in the quasi linearization technique of Bellman [1] the step of inversion of a linear system of dimension n by several steps of n linear equations of dimension 1 in parallel or in sequence. We are then led to apply for instance splitting up methods-studied in particular in [3], [6], [8], [9]. We obtain what we call a decomposition scheme to approximate evolutive Hamilton-Jacobi Equation. We study convergence results as time steps converge to zero with compacity methods adapted from [4] and give some numerical results.