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

H. Hayrapetyan

Received N/A; revised N/A; accepted N/A

This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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.

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

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