Existence of a Solution for a Class of Parabolic Equations with Three Unbounded Nonlinearities
نویسنده
چکیده
We give an existence result of a renormalized solution for a class of nonlinear parabolic equations ∂b(x, u) ∂t − div (a(x, u,∇u)+ (u)) = f , where the righthand side belongs to L((0, T )× ) and where b(x, u) is an unbounded function of u and where −div(a(t, x, u,∇u) + (u)) is a Leray–Lions type operator with growth |∇u|p−1 in ∇u, but without any growth assumption on u. AMS subject classification: Primary 47A15, Secondary 46A32, 47D20.
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تاریخ انتشار 2008