Analytic Solvability of the H¨ormander Problem and the Borel Transformation of Multiple Laurent Series
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Published:2022-03
Issue:2
Volume:15
Page:184-193
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ISSN:1997-1397
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Container-title:Journal of Siberian Federal University. Mathematics & Physics
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language:
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Short-container-title:J. Sib. Fed. Univ., Math. phys.
Author:
Leinartas Evgeny K.,
Abstract
In this paper, the initial-boundary value problem of Hormander is formulated in the class of functions representable by Laurent series supported in rational cones. Using the Borel transformation of Laurent series we establish a connection between a differential and a difference problems and prove its global analytic solvability
Publisher
Siberian Federal University
Subject
General Physics and Astronomy,General Mathematics