TY - Generic T1 - Optimality of integrability estimates for advection-diffusion equations Y1 - 2017 A1 - S. Bianchini A1 - M. Colombo A1 - G. Crippa A1 - Laura V. Spinolo KW - Advection-diffusion equation KW - Duhamel formula KW - integrability estimates and their optimality KW - parabolic equations KW - self-similar solutions AB - We discuss integrability estimates for the solution of an advection-diffusion equation. We first summarize some classical results proving such estimates for certain ranges of the space and time summability of the velocity field. Afterwards we prove the optimality of such ranges by means of new original examples. JF - IMATI Report Series PB - CNR-IMATI CY - Pavia UR - http://irs.imati.cnr.it/reports/irs17-04 ER -