The augmented operator of a surjective partial differential operator with constant coefficients need not be surjective

Thomas Kalmes

For $d\ge 3$ we give an example of a constant coefficient surjective differential operator $P(D):{\mathcal{D}}^{\prime }(X)\to {\mathcal{D}}^{\prime }(X)$ over some open subset $X\subset {\mathbb{R}}^d$ su…