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In the framework of the PDE's algebraic topology, previously introduced by A.Pr\'astaro, {\em exotic $n$-d'Alembert PDE's} are considered. These are$n$-d'Alembert PDE's, $(d'A)_n$, admitting Cauchy manifolds $N\subset (d'A)_n$identifiable with exotic spheres, or such that $\partial N$, can be exoticspheres. For such equations local and global existence theorems and stabilitytheorems are obtained.

Exotic n-d'Alembert PDE's and Stability