ON A SOLUTIONS OF ONE CLASS OF ALMOST HYPOELLIPTIC EQUATIONS

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ON A SOLUTIONS OF ONE CLASS OF ALMOST HYPOELLIPTIC EQUATIONS Gag Hakobyan

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.

DOI: 10.46991/PYSUA.2015.49.1.020 Physical and Mathematical Sciences, 49 (1 (236) 20-25

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Keywords

almost hypoelliptic operator (polynom), weighted Sobolev spaces, analyticity of solution

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