Abstract
We are concerned with the existence of non-negative solutions to the following initial boundary value problem of a fourth order degenerate parabolic equation in higher space dimensions: ut+div(|u|n∇Δu)=0 in Ω×(0,T], ∂u/∂ν=(∂/∂ν)Δu=0 on ∂Ω×(0,T], and u(x,0)=u0(x) in Ω.
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