On normal solvability of a Dirichlet's type problem for improperly elliptic equation third order

Authors

  • H. Hayrapetyan State Engineering University of Armenia, Yerevan, Teryan st. 105, Armenia
  • P. Meliksetyan State Engineering University of Armenia, Yerevan, Teryan st. 105, Armenia

Abstract

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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Published

2009-02-23

Issue

Vol. 2 No. 1 (2009)

Section

Articles

How to Cite

On normal solvability of a Dirichlet’s type problem for improperly elliptic equation third order. (2009). Armenian Journal of Mathematics, 2(1), 13-27. https://armjmath.sci.am/index.php/ajm/article/view/49