2015; Physical and Mathematical Sciences, 49 (1 (236): 20–25
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ON A SOLUTIONS OF ONE CLASS OF ALMOST HYPOELLIPTIC EQUATIONS

Gag Hakobyan*

Received: 2025-02-12 · Published: 2015-03-16

© 2015 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
ON A SOLUTIONS OF ONE CLASS OF ALMOST HYPOELLIPTIC EQUATIONS
Author
Gag Hakobyan
Published
2015-03-16
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.46991/PYSUA.2015.49.1.020

Abstract

We prove that if P(D)=P(D1,D2)=∑αγαD1α1D2α2 is almost hippoelliptic regular operator, then for enough small δ>0, all solutions of equation P(D)u=0 from L2,δ(R2) are entire analytical functions.
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