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Solvability of boundary value problems in a half-space for differential equations with constant coefficients in the class of tempered distributions

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Abstract

We present sufficient conditions for existence of solutions to general boundary value problems in a half-space for homogeneous differential equations with constant coefficients and arbitrary boundary data in the space of tempered distributions.

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Correspondence to A. L. Pavlov.

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Original Russian Text Copyright © 2013 Pavlov A.L.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 54, No. 4, pp. 871–889, July–August, 2013.

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Pavlov, A.L. Solvability of boundary value problems in a half-space for differential equations with constant coefficients in the class of tempered distributions. Sib Math J 54, 697–712 (2013). https://doi.org/10.1134/S0037446613040101

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