On interior regularity of solutions of a class ofalmost-hypoelliptic equations

Haik Ghazaryan

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Abstract

In this paper it is proved that all distributional solutions of the non-degenerate, al-most hypoelliptic (hypoelliptic by the one of variables) equation푃(퐷)푢=푃(퐷1,퐷2)푢=0are infinitely differentiable in the certain strip in퐸2under a priori assumption thatthey and its certain derivatives are square integrable with a certain exponential weight.

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On interior regularity of solutions of a class ofalmost-hypoelliptic equations

Abstract

Author(s)

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On interior regularity of solutions of a class ofalmost-hypoelliptic equations

Abstract

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