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math-ph2013
Heat equation and convolution inequalities
Giuseppe Toscani
It is known that many classical inequalities linked to convolutions can be obtained by looking at the monotonicity in time of convolutions of powers of solutions to the heat equati…
math.AP2013
Condensation phenomena in nonlinear drift equations
Jose' A. Carrillo, Marco Di Francesco, Giuseppe Toscani
We study nonnegative, measure-valued solutions to nonlinear drift type equations modelling concentration phenomena related to Bose-Einstein particles. In one spatial dimension, we…