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ON A SOLUTIONS OF ONE CLASS OF ALMOST HYPOELLIPTIC EQUATIONS

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CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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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