On interior regularity of solutions of a class of almost-hypoelliptic equations. Armenian Journal of Mathematics

In this paper it is proved that all distributional solutions of the non-degenerate, almost hypoelliptic (hypoelliptic by the one of variables) equation $P(D)u = P(D_{1},D_{2})u = 0$ are infinitely differentiable in the certain strip in $E^{2}$ under a priori assumption that they and its certain der...

Full description

Bibliographic Details
Main Authors: Hayk Ghazaryan, Vachagan Margaryan
Format: Article
Language:English
Published: Republic of Armenia National Academy of Sciences 2010-06-01
Series:Armenian Journal of Mathematics
Online Access:http://test.armjmath.sci.am/index.php/ajm/article/view/71