Analytic wave front sets for solutions of linear differential equations of principal type
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- by Karl Gustav Andersson PDF
- Trans. Amer. Math. Soc. 177 (1973), 1-27 Request permission
Abstract:
The propagation of analyticity for solutions u of $P(x,D)u = f$ is studied, in terms of wave front sets, for a large class of differential operators $P = P(x,D)$ 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 $P:{C^\infty }(\Omega ) \to {C^\infty }(\Omega )$.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 177 (1973), 1-27
- MSC: Primary 35D10; Secondary 35S05
- DOI: https://doi.org/10.1090/S0002-9947-1973-0316871-1
- MathSciNet review: 0316871