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 | References | Similar Articles | Additional Information
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
.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1973-0316871-1
Keywords:
Analytic wave front sets,
pseudo-differential operators
Article copyright:
© Copyright 1973
American Mathematical Society