Geodesic
On a solutions of one class of almost hypoelliptic equations
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2015), pp. 20-25

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We prove, that if $P(D)=P(D_1,D_2)=\sum_{\alpha}\gamma_{\alpha} D_1^{\alpha_1}D_2^{\alpha_2}$ is an almost hypoelliptic regular operator, then for enough small $\delta>0$ all the solutions of the equation $P(D)u = 0$ from $L_{2,\delta} (R^2)$ are entire analytical functions.
Keywords: almost hypoelliptic operator (polynom), weighted Sobolev spaces, analyticity of solution. 
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G. H. Hakobyan. On a solutions of one class of almost hypoelliptic equations. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2015), pp. 20-25. http://geodesic.mathdoc.fr/item/UZERU_2015_1_a4/