The Barenblatt-Zheltov-Kochina model on the segment with Wentzell boundary conditions
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In terms of the theory of relative p-bounded operators, we study the Barenblatt-Zheltov-Kochina model, which describes dynamics of pressure of a filtered fluid in a fractured-porous medium with general Wentzell boundary conditions. In particular, we consider spectrum of one-dimensional Laplace operator on the segment [0, 1] with general Wentzell boundary conditions. We examine the relative spectrum in one-dimensional Barenblatt-Zheltov-Kochina equation, and construct the resolving group in the Cauchy-Wentzell problem with general Wentzell boundary conditions. In the paper, these problems are solved under the assumption that the initial space is a contraction of the space L2(0, 1).
Barenblatt-zheltov-kochina model, relatively p-bounded operator, phase space, contraction semigroups, wentzell boundary conditions, c0-сжимающие полугруппы
Короткий адрес: https://sciup.org/147232936
IDR: 147232936 | DOI: 10.14529/mmp190211
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