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: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Republic of Armenia National Academy of Sciences
2009-02-01
|
| Series: | Armenian Journal of Mathematics |
| Online Access: | http://www.armjmath.sci.am/index.php/ajm/article/view/49 |