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

H. Hayrapetyan, PhD. P. Meliksetyan — Academia (Universities, Colleges and other higher learning entities) (State Engineering University of Armenia, Yerevan, Teryan st. 105, Armenia)

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Submitted: 2024-12-20; Published: 2009-02-23

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

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.

Open PDF

Author(s)

Table of Contents

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

Abstract

Author(s)

Table of Contents

Related Articles

ON UNIQUENESS OF HOLOMORPHIC AND BOUNDED OUTSIDE THE CLOSED LOGARITHMIC SECTOR FUNCTIONS REPRESENTABLE BY LACUNARY POWER SERIES

COMPUTER DETECTING AND PROCESSING OF THE SIGNALS OF A FLAT-COIL ABSOLUTE-POSITION SENSOR BASED SEISMIC DETECTOR

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

Abstract

Subscribe to TheGufo Newsletter​

Subscribe to TheGufo Newsletter