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

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  • Hayk Ghazaryan Russian - Armenian (Slavic) University, 0051, Hovsep Emin 123 str., Yerevan, Armenia
  • Vachagan Margaryan Russian - Armenian (Slavic) University, 0051, Hovsep Emin 123 str., Yerevan, Armenia

Ամփոփում

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 derivatives are square integrable with a certain exponential weight.

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2010-06-17

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Հտ․ 3 No. 2 (2010)

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Articles

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[1]
H. Ghazaryan and V. Margaryan, “On interior regularity of solutions of a class of almost-hypoelliptic equations. Armenian Journal of Mathematics”, Armen.J.Math., vol. 3, no. 2, pp. 32–60, Jun. 2010, Accessed: May 09, 2026. [Online]. Available: http://test.armjmath.sci.am/index.php/ajm/article/view/71