Ghazaryan, Hayk and Margaryan, Vachagan (2010) On interior regularity of solutions of a class of almost-hypoelliptic equations. Armenian Journal of Mathematics, 3 (2). pp. 32-60. ISSN 1829-1163
![[img]](http://ajm.asj-oa.am/style/images/fileicons/application_pdf.png)
| PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 300Kb |
Abstract
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.
| Item Type: | Article |
|---|---|
| Subjects: | 35-xx Partial differential equations 12-xx Field theory and polynomials |
| ID Code: | 254 |
| Deposited By: | Professor Anry Nersesyan |
| Deposited On: | 17 Jun 2010 12:31 |
| Last Modified: | 19 Apr 2011 02:24 |
Repository Staff Only: item control page