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

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

We consider Dirichlet type problem in upper half-plane for improperly elliptic equation uz¯z2=0uzz¯2=0, with boundary functions from the class L1(ρ)L1(ρ) (ρ=(1+|x|)−α,α≥0)(ρ=(1+|x|)−α,α≥0). The solutions of the problem are obtained in explicit form.

DOI: https://armjmath.sci.am/index.php/ajm/article/view/49 Armenian Journal of Mathematics, 2(1) 13-27

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Keywords

Improperly elliptic, Boundary value problem, Wight spaces, Dirichlet prob-lem.

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