Analytic wave front sets for solutions of linear differential equations of principal type

Andersson, Karl Gustav

doi:10.1090/S0002-9947-1973-0316871-1

Analytic wave front sets for solutions of linear differential equations of principal type

Author: Karl Gustav Andersson
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
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Abstract: The propagation of analyticity for solutions u of is studied, in terms of wave front sets, for a large class of differential operators 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 $P:{C^\infty }(\Omega ) \to {C^\infty }(\Omega )$ .

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