Parabolic equations with divergence-free drift in space L_{t}^{l}L_{x}^{q}
Parabolic equations with divergence-free drift in space L_{t}^{l}L_{x}^{q}
In this paper we study the fundamental solution Γ (t, x; τ, ξ ) of the parabolic operator L t = ∂ t -∆ + b(t, x) • ∇, where for every t, b(t, •) is a divergence-free vector field, and we consider the case that b belongs to the …