Analytic Wave Front Sets for Solutions of Linear Differential Equations of Principal Type
Open Access
- 1 March 1973
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 177, 1-27
- https://doi.org/10.2307/1996580
Abstract
The propagation of analyticity for solutions u of <!-- MATH $P(x,D)u = f$ --> is studied, in terms of wave front sets, for a large class of differential operators <!-- MATH $P = P(x,D)$ --> of principal type. In view of a theorem by L. Hörmander [9], the results obtained imply rather precise results about the surjectivity of the mapping <!-- MATH $P:{C^\infty }(\Omega ) \to {C^\infty }(\Omega )$ --> .
Keywords
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