Abstract
ABSTRACTIn this paper, we shall be concerned with the existence result of a non-linear parabolic equations associated to the form, , where the right-hand side and the initial data belong to and the lower order term is a non-coercive Carathéodory function. The growth and coercivity conditions on the monotone vector field a are prescribed by an N-function M, which does not have to satisfy the condition. Therefore, we work with an Orlicz–Sobolev spaces which are not necessarily reflexive.
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