Differential operators of the first order with degenerate principal symbols
Volume 27 / 1992
Banach Center Publications 27 (1992), 147-161
DOI: 10.4064/-27-1-147-161
Abstract
Let there be given a differential operator on $ℝ^n$ of the form $D = ∑^{n}_{i,j=1} a_{ij}·x_j ∂/∂x_i + μ$, where $A = (a_{ij})$ is a real matrix and μ is a complex number. We study the following question: To what extent the mapping $D :S'(ℝ^n) → S'(ℝ^n)$ is surjective? We shall give some conditions on A and μ which assure the surjectivity of D.
