For any α<0 there exist drifts u in L^∞_t C^α_x such that the additive SDE dX=u(t,X)dt+dB has unique weak solutions but fails pathwise uniqueness.
Superdiffusion and anomalous regularization in self-similar random incompressible flows, January 2026
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
years
2026 2verdicts
UNVERDICTED 2representative citing papers
Under scale-separation assumptions, the authors prove qualitative homogenization, optimal L2 convergence rates, and uniform interior/boundary Lipschitz estimates for elliptic equations with infinitely many periodic scales.
citing papers explorer
-
Sharp pathwise nonuniqueness for additive SDEs
For any α<0 there exist drifts u in L^∞_t C^α_x such that the additive SDE dX=u(t,X)dt+dB has unique weak solutions but fails pathwise uniqueness.
-
Quantitative homogenization of elliptic equations with infinitely many scales
Under scale-separation assumptions, the authors prove qualitative homogenization, optimal L2 convergence rates, and uniform interior/boundary Lipschitz estimates for elliptic equations with infinitely many periodic scales.