Abstract
We consider general boundary value problems with data on the boundary of a half-space for quasielliptic equations with constant coefficients. We find integral representations for solutions and study some properties of the kernels of the corresponding integral operators. The results are applied to proving some generalization of the Miranda-Agmon maximum principle.
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Original Russian Text Copyright © 2005 Belonosov V. S.
The author was supported by the Russian Foundation for Basic Research (Grant 03-01-00162) and the Presidium of the Russian Academy of Sciences (Program No. 16, Project 115).
In memory of Tadei Ivanovich Zelenyak.
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 46, No. 5, pp. 985–999, September–October, 2005.
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Belonosov, V.S. Boundary Value Problems for Quasielliptic Equations in a Half-Space. Sib Math J 46, 783–795 (2005). https://doi.org/10.1007/s11202-005-0077-z
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DOI: https://doi.org/10.1007/s11202-005-0077-z