Geodesic
The smoothness of regular equations according to parameter
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (1988), pp. 21-29.

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In the article the solution of smoothness of one of the classes of hypo elliptic equations according to $\lambda$ parameter has been proved. The following has been proved particularly. For example, if we have the equation $P(\lambda, D)u=f$. Let’s mark by $N(\lambda)$ the set of solutions of equation $P(\lambda, D)u=0$ from class $W_2^H(R^n)$. If the dimension of $N(\lambda)$ does not depend on $\lambda,$ then all the solutions of equation $P(\lambda, D)u = f$ that are orthogonal to $N(\lambda)$ are infinitely differentiable by $(x, \lambda)$. 
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G. А. Karapetyan. The smoothness of regular equations according to parameter. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (1988), pp. 21-29. http://geodesic.mathdoc.fr/item/UZERU_1988_3_a2/

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