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Differential operators of the first order with degenerate principal symbols

Rainer Felix — 1992

Banach Center Publications

Let there be given a differential operator on n of the form D = i , j = 1 n a i j · x j / 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 ' ( n ) S ' ( n ) is surjective? We shall give some conditions on A and μ which assure the surjectivity of D.

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