%0 Journal Article %T On trivial zeros of Perrin-Riou's $L$-functions %A Denis Benois %J Mathematics %D 2009 %I arXiv %X In the previous paper we generalized Greenberg's construction of the $\Cal L$-invariant to semistable representations. Here we prove that this construction is compatible with Perrin-Riou's theory of $p$-adic $L$-functions %U http://arxiv.org/abs/0906.2862v1