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We provide an asymptotic formula for the maximal Strichartz norm of smallsolutions to the cubic wave equation in Minkowski space. The leadingcoefficient is given by Foschi's sharp constant for the linear Strichartzestimate. We calculate the constant in the second term, which differs dependingon whether the equation is focussing or defocussing. The sign of thiscoefficient also changes accordingly.

A sharp Lorentz-invariant Strichartz norm expansion for the cubic wave equation in $\mathbb{R}^{1+3}$