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Natural Science, Biology, 2024, 14, 67–75
DOI: 10.xxxx/example-doi Special Issue 1(2), 2022 186–1928

On interior regularity of solutions of a class ofalmost-hypoelliptic equations

Received N/A; revised N/A; accepted N/A
CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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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