Armenian Journal of Mathematics, 3(2)
2010; 32–60
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On interior regularity of solutions of a class ofalmost-hypoelliptic equations

Hayk Ghazaryan*, Vachagan Margaryan

Received: 2024-12-20 · Published: 2010-06-17

© 2010 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 interior regularity of solutions of a class ofalmost-hypoelliptic equations
Authors
Hayk Ghazaryan, Vachagan Margaryan
Source journal
Armenian Journal of Mathematics, 3(2)
Published
2010-06-17
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/71

Abstract

In this paper it is proved that all distributional solutions of the non-degenerate, al-most hypoelliptic (hypoelliptic by the one of variables) equation푃(퐷)푢=푃(퐷1,퐷2)푢=0are infinitely differentiable in the certain strip in퐸2under a priori assumption thatthey and its certain derivatives are square integrable with a certain exponential weight.
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