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Explicit solution of the mixed problem in an anisotropic half-space for the Barenblatt-Zheltov-Kochina equation. (Russian. English summary) Zbl 1326.35288

Summary: For the Barenblatt-Zheltov-Kochina model of filtering liquids in fissured rocks an explicit solution of the mixed problem in anisotropic half-space with pronounced horizontal permeability is found by reduction to some abstract mixed problem in Banach space.

MSC:

35Q35 PDEs in connection with fluid mechanics
35A08 Fundamental solutions to PDEs
35C15 Integral representations of solutions to PDEs
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