Armenian Journal of Mathematics, 2(1)
2009; 13–27
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On normal solvability of a Dirichlet's type problem for improperly elliptic equation third order

H. Hayrapetyan*, P. Meliksetyan

Received: 2024-12-20 · Published: 2009-02-23

© 2009 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
On normal solvability of a Dirichlet's type problem for improperly elliptic equation third order
Authors
H. Hayrapetyan, P. Meliksetyan
Source journal
Armenian Journal of Mathematics, 2(1)
Published
2009-02-23
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/49

Abstract

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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