Nonexistence of a Continuous Right Inverse for Surjective Linear Partial Differential Operations with Constant Coefficients

摘要

Let P(D) denote a linear partial differential operator with constant coefficients of positive degree. Let V(P) denote the vector space spanned by the characteristics of P(D) and let dim V(P) denote its dimension. Suppose P(D) has n = or > 2 independent variables. In earlier work the author showed that if dim V(P) = or