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Differential Equations

, Volume 48, Issue 10, pp 1433–1435 | Cite as

On the solution of the Gellerstedt problem for the Lavrent’ev-Bitsadze equation

  • T. E. Moiseev
Short Communications

Abstract

We study the solvability of the Gellerstedt problem for the Lavrent’ev-Bitsadze equation under an inhomogeneous boundary condition on the half-circle of the ellipticity domain of the equation, homogeneous boundary conditions on external, internal, and parallel side characteristics of the hyperbolicity domain of the equation, and the transmission conditions on the type change line of the equation.

Keywords

Harmonic Function Nontrivial Solution Solvability Condition Transmission Condition Homogeneous Boundary Condition 
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References

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Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  • T. E. Moiseev
    • 1
  1. 1.Moscow State UniversityMoscowRussia

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