Contractivity for Smoluchowski's coagulation equation with solvable kernels

José A. Cañizo, Bertrand Lods, Sebastian Throm

We show that the Smoluchowski coagulation equation with the solvable kernels $K(x,y)$ equal to $2$, $x+y$ or $xy$ is contractive in suitable Laplace norms. In particular, this prov…