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...
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| Format: | Journal article |
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Indiana University Mathematics Journal
2019
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