Explicit solution of the mixed problem in an anisotropic half-space for the Barenblatt--Zheltov--Kochina equation
Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 1, pp. 51-64

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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.
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     author = {Kh. G. Umarov},
     title = {Explicit solution of the mixed problem in an anisotropic half-space for the {Barenblatt--Zheltov--Kochina} equation},
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Kh. G. Umarov. Explicit solution of the mixed problem in an anisotropic half-space for the Barenblatt--Zheltov--Kochina equation. Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 1, pp. 51-64. http://geodesic.mathdoc.fr/item/VMJ_2013_15_1_a6/