Initial-boundary problems for systems of a high order doubly nonlinear parabolic equations with variable exponent of nonlinearity

Author T. M. Bokalo
tbokalo_at_gmail.com
Ivan Franko National University of Lviv

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.
Keywords system of doubly nonlinear equations; existence theorem; uniqueness theorem; Galerkin procedure
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Pages 68-79
Volume 38
Issue 1
Year 2012
Journal Matematychni Studii
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