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...
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Republic of Armenia National Academy of Sciences
2010-06-01
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| Series: | Armenian Journal of Mathematics |
| Online Access: | http://test.armjmath.sci.am/index.php/ajm/article/view/71 |
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doaj-028492d5e2244946b4180919da9588e02020-11-24T23:44:22ZengRepublic of Armenia National Academy of SciencesArmenian Journal of Mathematics1829-11632010-06-0132On interior regularity of solutions of a class of almost-hypoelliptic equations. Armenian Journal of MathematicsHayk Ghazaryan0Vachagan Margaryan1Russian - Armenian (Slavic) University, 0051, Hovsep Emin 123 str., Yerevan, ArmeniaRussian - Armenian (Slavic) University, 0051, Hovsep Emin 123 str., Yerevan, Armenia 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. http://test.armjmath.sci.am/index.php/ajm/article/view/71 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hayk Ghazaryan Vachagan Margaryan |
| spellingShingle |
Hayk Ghazaryan Vachagan Margaryan On interior regularity of solutions of a class of almost-hypoelliptic equations. Armenian Journal of Mathematics Armenian Journal of Mathematics |
| author_facet |
Hayk Ghazaryan Vachagan Margaryan |
| author_sort |
Hayk Ghazaryan |
| title |
On interior regularity of solutions of a class of almost-hypoelliptic equations. Armenian Journal of Mathematics |
| title_short |
On interior regularity of solutions of a class of almost-hypoelliptic equations. Armenian Journal of Mathematics |
| title_full |
On interior regularity of solutions of a class of almost-hypoelliptic equations. Armenian Journal of Mathematics |
| title_fullStr |
On interior regularity of solutions of a class of almost-hypoelliptic equations. Armenian Journal of Mathematics |
| title_full_unstemmed |
On interior regularity of solutions of a class of almost-hypoelliptic equations. Armenian Journal of Mathematics |
| title_sort |
on interior regularity of solutions of a class of almost-hypoelliptic equations. armenian journal of mathematics |
| publisher |
Republic of Armenia National Academy of Sciences |
| series |
Armenian Journal of Mathematics |
| issn |
1829-1163 |
| publishDate |
2010-06-01 |
| description |
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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| url |
http://test.armjmath.sci.am/index.php/ajm/article/view/71 |
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AT haykghazaryan oninteriorregularityofsolutionsofaclassofalmosthypoellipticequationsarmenianjournalofmathematics AT vachaganmargaryan oninteriorregularityofsolutionsofaclassofalmosthypoellipticequationsarmenianjournalofmathematics |
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