Aggregation on a Nonlinear Parabolic Functional Differential Equation †
نویسنده
چکیده
In this paper we study the equation ut = ∆[φ(u(x, [t/τ ]τ))u(x, t)] , x ∈ Ω , t > 0, with homogeneous Neumann boundary conditions in a bounded domain in R. We show existence and uniqueness for the initial value problem, and prove some results that show the aggregating behaviour exhibited by the solutions.
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