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On a Dirichlet Problem for One Improperly Elliptic Equation

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Modern Methods in Operator Theory and Harmonic Analysis (OTHA 2018)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 291))

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Abstract

The Dirichlet problem for sixth order improperly elliptic equation is considered. The functional class of boundary functions, where this problem is normally solvable is determined. If the roots of the characteristic equation satisfy some conditions, the number of linearly independent solutions of homogeneous problem and the number of linearly independent solvability conditions of in-homogeneous problem are obtained. Solutions of homogeneous problem and solvability conditions of in-homogeneous problem are obtained in explicit form.

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Authors and Affiliations

  1. National Polytechnic University of Armenia, Teryan 105, Yerevan, 0009, Armenia

    Armenak H. Babayan & Seyran H. Abelyan

Authors
  1. Armenak H. Babayan
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  2. Seyran H. Abelyan
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Correspondence to Armenak H. Babayan .

Editor information

Editors and Affiliations

  1. Institute of Mathematics, Mechanic and Computer Sciences and Regional Mathematical Center, Southern Federal University, Rostov-on-Don, Russia

    Alexey Karapetyants

  2. Department of Mathematics, Cinvestav, Santiago de Querétaro, Querétaro, Mexico

    Vladislav Kravchenko

  3. Department of Mathematics, Bar-Ilan University, Ramat Gan, Israel

    Elijah Liflyand

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Babayan, A.H., Abelyan, S.H. (2019). On a Dirichlet Problem for One Improperly Elliptic Equation. In: Karapetyants, A., Kravchenko, V., Liflyand, E. (eds) Modern Methods in Operator Theory and Harmonic Analysis. OTHA 2018. Springer Proceedings in Mathematics & Statistics, vol 291. Springer, Cham. https://doi.org/10.1007/978-3-030-26748-3_18

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