@article {irs17-04,
	title = {Optimality of integrability estimates for advection-diffusion equations},
	number = {17-04},
	year = {2017},
	month = {February},
	pages = {19},
	publisher = {CNR-IMATI},
	type = {Working paper},
	address = {Pavia},
	abstract = {<p>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.</p>
},
	keywords = {Advection-diffusion equation, Duhamel formula, integrability estimates and their optimality, parabolic equations, self-similar solutions},
	url = {http://irs.imati.cnr.it/reports/irs17-04},
	author = {S. Bianchini and M. Colombo and G. Crippa and L.V. Spinolo}
}
