Differential operators of the first order with degenerate principal symbols

Felix, Rainer

Felix, Rainer

Banach Center Publications, Tome 27 (1992), p. 147-161 / Harvested from The Polish Digital Mathematics Library

Résumé

Let there be given a differential operator on $ℝ^{n}$ of the form $D = \sum_{i, j = 1}^{n} a_{i j} \cdot x_{j} \partial / \partial x_{i} + μ$ , where $A = (a_{i j})$ is a real matrix and μ is a complex number. We study the following question: To what extent the mapping $D : S^{'} (ℝ^{n}) \to S^{'} (ℝ^{n})$ is surjective? We shall give some conditions on A and μ which assure the surjectivity of D.

Publié le : 1992-01-01

Zbl 0823.35028

EUDML-ID : urn:eudml:doc:262773

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     author = {Felix, Rainer},
     title = {Differential operators of the first order with degenerate principal symbols},
     journal = {Banach Center Publications},
     volume = {27},
     year = {1992},
     pages = {147-161},
     zbl = {0823.35028},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv27z1p147bwm}
}

Felix, Rainer. Differential operators of the first order with degenerate principal symbols. Banach Center Publications, Tome 27 (1992) pp. 147-161. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv27z1p147bwm/

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