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Boundary value problems for quasielliptic systems

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Abstract

We consider the boundary value problems in the half-space for a class of quasielliptic systems with variable coefficients. Assuming that the boundary value problems satisfy the Lopatinskiĭ condition, we establish sufficient conditions for unique solvability in Sobolev spaces.

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Authors and Affiliations

  1. Novosibirsk State University, Novosibirsk, Russia

    L. N. Bondar

  2. Sobolev Institute of Mathematics, Novosibirsk, Russia

    G. V. Demidenko

Authors
  1. L. N. Bondar
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  2. G. V. Demidenko
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Correspondence to L. N. Bondar.

Additional information

Original Russian Text Copyright © 2008 Bondar L. N. and Demidenko G. V.

The authors were supported by the Russian Foundation for Basic Research (Grant 07-01-00289) and a grant of the Siberian Division of the Russian Academy of Sciences (No. 2.2).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 2, pp. 256–273, March–April, 2008.

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Bondar, L.N., Demidenko, G.V. Boundary value problems for quasielliptic systems. Sib Math J 49, 202–217 (2008). https://doi.org/10.1007/s11202-008-0021-0

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  • DOI: https://doi.org/10.1007/s11202-008-0021-0

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