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Surjectivity of constant coefficient partial differential operators on (4) and Whitney's C4-cone
Constant coefficient partial differential operators on the space of all real analytic functions in four variables are considered. The variety of their symbol is decomposed using methods of algorithmic algebraic geometry. This decomposition is needed for the application of a geometric characterization, given recently by the present authors, of those operators whose symbol satisfies Hörmander’s Phragmén-Lindelöf condition, which, by earlier work of Hörmander, is equivalent to the surjectivity of the differential operator on the space of real analytic functions.
12000 Mathematics Subject Classification : primary 35E10, secondary 14Q10
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A propos de : W. Rüdiger Braun
MATHEMATISCHES INSTITUT, HEINRICH-HEINE-UNIVERSITÄT, UNIVERSITÄTSSTRASSE 1.
A propos de : Reinhold Meise
40225 DÜSSELDORF, GERMANY