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Solvability of a boundary value problem for operator-differential equations of mixed type

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Abstract

We study boundary value problems for operator-differential equations of mixed type, prove existence of generalized solutions, and establish their smoothness in weighted Sobolev spaces. The results are applied to odd order forward-backward equations.

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Authors and Affiliations

  1. Institute of Mathematics and Informatics, North-Eastern Federal University, Yakutsk, Russia

    V. I. Antipin

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  1. V. I. Antipin
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Correspondence to V. I. Antipin.

Additional information

Original Russian Text Copyright © 2013 Antipin V.I.

The author was supported by the Ministry for Education of the Russian Federation for 2012–2014 (Grant 4402) and the Federal Target Program “Scientific and Scientific-Pedagogical Personnel of Innovative Russia” (State Contracts 14.132.21.1350 and 14.A18.21.0367).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 54, No. 2, pp. 245–257, March–April, 2013.

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Antipin, V.I. Solvability of a boundary value problem for operator-differential equations of mixed type. Sib Math J 54, 185–195 (2013). https://doi.org/10.1134/S0037446613020018

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  • DOI: https://doi.org/10.1134/S0037446613020018

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