Regularity of Weak Solutions for Nonlinear Parabolic Problem with p(x)-Growth
نویسندگان
چکیده
In this paper, we study the nonlinear parabolic problem with p(x)growth conditions in the space W L(Q), and give a regularity theorem of weak solutions for the following equation ∂u ∂t + A(u) = 0 where A(u) = −diva(x, t, u,∇u) + a0(x, t, u,∇u), a(x, t, u,∇u) and a0(x, t, u,∇u) satisfy p(x)-growth conditions with respect to u and ∇u.
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