Michele Bartuccelli’s proof of the crest factor theorem published in Applied Maths Letters

The paper “On the nature of space fluctuations of solutions of dissipative partial differential equations” by Michele Bartuccelli has been published in the October 2019 issue of Applied Mathematics Letters.  A link to the published paper is here.  The paper proves a crest-factor theorem for the Swift-Hohenberg equation.  The “crest factor” is the ratio of the sup-norm and the L2-norm of solutions.