Geodesic
Differential operators of the first order with degenerate principal symbols
Banach Center Publications, Tome 27 (1992) no. 1, pp. 147-161.

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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.
DOI : 10.4064/-27-1-147-161

Rainer Felix 1

1 
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Rainer Felix. Differential operators of the first order with degenerate principal symbols. Banach Center Publications, Tome 27 (1992) no. 1, pp. 147-161. doi : 10.4064/-27-1-147-161. http://geodesic.mathdoc.fr/articles/10.4064/-27-1-147-161/

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