On normal solvability of a Dirichlet's type problem for improperly elliptic equation third order
We consider Dirichlet type problem in upper half-plane for improperly elliptic equation $u_{z\bar{z}^2}=0$, with boundary functions from the class $L^1(\rho)$ $(\rho=(1+|x|)^{-\alpha}, \alpha\geq0)$. The solutions of the problem are obtained in explicit form.
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| Format: | Article |
| Language: | English |
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Republic of Armenia National Academy of Sciences
2009-02-01
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| Series: | Armenian Journal of Mathematics |
| Online Access: | http://test.armjmath.sci.am/index.php/ajm/article/view/49 |
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doaj-db0dfe18d691486089045bc47dda27cb2020-11-25T01:28:57ZengRepublic of Armenia National Academy of SciencesArmenian Journal of Mathematics1829-11632009-02-0121On normal solvability of a Dirichlet's type problem for improperly elliptic equation third orderH. Hayrapetyan0P. Meliksetyan1State Engineering University of Armenia, Yerevan, Teryan st. 105, ArmeniaState Engineering University of Armenia, Yerevan, Teryan st. 105, Armenia We consider Dirichlet type problem in upper half-plane for improperly elliptic equation $u_{z\bar{z}^2}=0$, with boundary functions from the class $L^1(\rho)$ $(\rho=(1+|x|)^{-\alpha}, \alpha\geq0)$. The solutions of the problem are obtained in explicit form. http://test.armjmath.sci.am/index.php/ajm/article/view/49 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
H. Hayrapetyan P. Meliksetyan |
| spellingShingle |
H. Hayrapetyan P. Meliksetyan On normal solvability of a Dirichlet's type problem for improperly elliptic equation third order Armenian Journal of Mathematics |
| author_facet |
H. Hayrapetyan P. Meliksetyan |
| author_sort |
H. Hayrapetyan |
| title |
On normal solvability of a Dirichlet's type problem for improperly elliptic equation third order |
| title_short |
On normal solvability of a Dirichlet's type problem for improperly elliptic equation third order |
| title_full |
On normal solvability of a Dirichlet's type problem for improperly elliptic equation third order |
| title_fullStr |
On normal solvability of a Dirichlet's type problem for improperly elliptic equation third order |
| title_full_unstemmed |
On normal solvability of a Dirichlet's type problem for improperly elliptic equation third order |
| title_sort |
on normal solvability of a dirichlet's type problem for improperly elliptic equation third order |
| publisher |
Republic of Armenia National Academy of Sciences |
| series |
Armenian Journal of Mathematics |
| issn |
1829-1163 |
| publishDate |
2009-02-01 |
| description |
We consider Dirichlet type problem in upper half-plane for improperly elliptic equation $u_{z\bar{z}^2}=0$, with boundary functions from the class $L^1(\rho)$ $(\rho=(1+|x|)^{-\alpha}, \alpha\geq0)$. The solutions of the problem are obtained in explicit form.
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| url |
http://test.armjmath.sci.am/index.php/ajm/article/view/49 |
| work_keys_str_mv |
AT hhayrapetyan onnormalsolvabilityofadirichletstypeproblemforimproperlyellipticequationthirdorder AT pmeliksetyan onnormalsolvabilityofadirichletstypeproblemforimproperlyellipticequationthirdorder |
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1725099486928175104 |