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EXIT TIMES OF DIFFUSIONS WITH INCOMPRESSIBLE DRIFTS
EXIT TIMES DIFFUSIONS INCOMPRESSIBLE DRIFTS
2015/7/14
Let Ω ⊂ Rn be a bounded domain and for x ∈ Ω let τ(x) be the expected exit time from Ω of a diffusing particle starting at x and advected by an incompressible flow u. We are in...
The Harnack inequality for second-order elliptic equations with divergence-free drifts
Harnack inequality second-order elliptic equations divergence-free drifts
2015/7/14
We consider an elliptic equation with a divergence-free drift b. We prove that an inequality of Harnack type holds under the assumption b ∈ Ln/2+δ ∩ L2 where δ > 0. As an application we provide a one ...
The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity
Harnack inequality second-order parabolic equations divergence-free drifts low regularity
2015/7/14
We establish the Harnack inequality for advection-diffusion equations with divergencefree drifts of low regularity.While our previous work [IKR] considered the elliptic case, here we treat the more ch...