$Parabolic equations with divergence-free drift in space L_{t}^{l}L_{x}^{q}$

Parabolic equations with divergence-free drift in space L_{t}^{l}L_{x}^{q}

In this paper, we study the fundamental solution $\varGamma(t,x;\tau,\xi)$ of the parabolic operator $L_t=\partial_t-\Delta+b(t,x)\cdot\nabla$, where for every $t$, $b(t,\cdot)$ is a divergence-free vector field; and we consider the case that $b$ belongs to the Lebesgue space $L^{\ell}(0,T;L^q(\math...

書目詳細資料
Main Authors:	Qian, Z, Xi, G
格式:	Journal article
出版:	Indiana University Mathematics Journal 2019

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