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Solution of a parabolic coupling problem in a noncylindrical domain by the potential method. (Ukrainian) Zbl 1049.35508

The author proposes solution of a parabolic problem of coupling in Hölder class by the method of potential theory. The conditions of coupling (on a noncylindrical, nonsmooth by \(t\) surface of discontinuity of coefficients) do not belong to the conditions of contact type.

MSC:

35K20 Initial-boundary value problems for second-order parabolic equations
35K10 Second-order parabolic equations
35R05 PDEs with low regular coefficients and/or low regular data
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