A unified L^q(L^p) theory establishes weak differentiability of SDE flows, a Bismut-Elworthy-Li derivative formula, and endpoint weak well-posedness for singular locally integrable coefficients.
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$L^q(L^p)$-theory of stochastic differential equations
A unified L^q(L^p) theory establishes weak differentiability of SDE flows, a Bismut-Elworthy-Li derivative formula, and endpoint weak well-posedness for singular locally integrable coefficients.