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.
| Main Authors: | , |
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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://www.armjmath.sci.am/index.php/ajm/article/view/49 |
| Summary: | 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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| ISSN: | 1829-1163 |