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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2015, Issue 1, Pages 20–25
(Mi uzeru8)
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Mathematics
On a solutions of one class of almost hypoelliptic equations
G. H. Hakobyan Yerevan State University
Abstract:
We prove, that if $P(D)=P(D_1,D_2)=\sum_{\alpha}\gamma_{\alpha} D_1^{\alpha_1}D_2^{\alpha_2}$ is an almost hypoelliptic regular operator, then for enough small $\delta>0$ all the solutions of the equation $P(D)u = 0$ from $L_{2,\delta} (R^2)$ are entire analytical functions.
Keywords:
almost hypoelliptic operator (polynom), weighted Sobolev spaces, analyticity of solution.
Received: 24.11.2014 Accepted: 25.12.2014
Citation:
G. H. Hakobyan, “On a solutions of one class of almost hypoelliptic equations”, Proceedings of the YSU, Physical and Mathematical Sciences, 2015, no. 1, 20–25
Linking options:
https://www.mathnet.ru/eng/uzeru8 https://www.mathnet.ru/eng/uzeru/y2015/i1/p20
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Abstract page: | 74 | Full-text PDF : | 19 | References: | 46 |
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