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- W2951754530 abstract "We discuss $L^p$ integrability estimates for the solution $u$ of the advection-diffusion equation $partial_t u + mathrm{div} (bu) = Delta u$, where the velocity field $b in L^r_t L^q_x$. We first summarize some classical results proving such estimates for certain ranges of the exponents $r$ and $q$. Afterwards we prove the optimality of such ranges by means of new original examples." @default.
- W2951754530 created "2019-06-27" @default.
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- W2951754530 date "2017-02-01" @default.
- W2951754530 modified "2023-10-01" @default.
- W2951754530 title "Optimality of integrability estimates for advection-diffusion equations" @default.
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