2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60552Let $X$ be a complex manifold, $V$ a smooth involutive submanifold of $T^*X$, $\cal M$ a microdifferential system regular along $V$, and $F$ an $\mathbb{R}$-constructible sheaf on $X$. The complex of temperate microfunction solutions of $\cal M$ associated with $F$ is now well understood. In this paper we study the temperate case and give a bound to the micro-support of the temperate microfunction solution sheaves and solve the Cauchy problem under suitable hyperbolicity conditions.20 pages, Latex 2e, correct some typos on the abstract, which incorrectly used macrosAnalysis of PDEsComplex Variablestext