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On Unique Solvability of the Dirichlet Problem for One Class of Properly Elliptic Equations

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Topics in Analysis and its Applications

Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry ((NAII,volume 147))

Abstract

The paper studies the unique solvability of the Dirichlet problem for some class of higher order properly elliptic equations. The different forms of necessary and sufficient conditions rendering the corresponding problem in being uniquely solvable and some applications are found.

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References

  1. Tovmasyan, N.E. (1998) Non-regular differential equations and calculations of electromagnetic fields, World Scientific, Singapore-New Jersey-London-Hong-Kong.

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  3. Babayan, A.O. (1999) On the unique solvability of Dirichlet problem for one class of fourth order elliptic equations, Izv. Nats. Acad. Nauk Armen. Mat., Vol. 34, 5, pp. 1–15.

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  4. Babayan, A.O., Zakarian, L.Z. (2000) On the unique solvability of Dirichlet problem for one class of fourth order elliptic equations, Proc. Annual SEUA Conf., Yerevan, pp. 7–9 (Russian).

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  5. Kolmogoroff, A.N., Fomin, S.V. (1989) Elements of function theory and functional analysis, Nauka, Moscow (Russian).

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Author information

Authors and Affiliations

  1. Armenian State Engineering University, Terian 105, Yerevan, 375009, Armenia

    A. O. Babayan

Authors
  1. A. O. Babayan
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Editor information

Editors and Affiliations

  1. Institute of Mathematics of National Academy of Sciences of Armenia, Yerevan, Armenia

    G. A. Barsegian

  2. Mathematical Institute, Freie Universität Berlin, Berlin, Germany

    H. G. W. Begehr

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© 2004 Kluwer Academic Publishers

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Babayan, A.O. (2004). On Unique Solvability of the Dirichlet Problem for One Class of Properly Elliptic Equations. In: Barsegian, G.A., Begehr, H.G.W. (eds) Topics in Analysis and its Applications. NATO Science Series II: Mathematics, Physics and Chemistry, vol 147. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2128-3_18

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