This paper contains examples of nonhypoelliptic infinitely degenerate elliptic differential operators. Global nonsmooth solutions of the corresponding homogeneous equations are constructed.
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Tri, N.M. Some Examples of Nonhypoelliptic Infinitely Degenerate Elliptic Differential Operators. Mathematical Notes 71, 517–529 (2002). https://doi.org/10.1023/A:1014883832119