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Initial-boundary problems for systems of a high order doubly nonlinear parabolic equations with variable exponent of nonlinearity
Journal: Matematychni Studii (Vol.38, No. 1)Publication Date: 2012-07-01
Authors : Bokalo T. M.;
Page : 68-79
Keywords : system of doubly nonlinear equations; existence theorem; uniqueness theorem; Galerkin procedure;
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Abstract
Consider a mixed problem for a class of system of a high order doubly nonlinear parabolic equations with variable exponent of nonlinearity. This problem is considered in generalized Lebesgue-Sobolev spaces. As a result, we reached a condition of the existence of a solution. We use here Galerkin's procedure.
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