Volume 3, Issue 1
Radial Solutions of Free Boundary Problems for Degenerate Parabolic Equations

J. Part. Diff. Eq.,3(1990),pp.47-68

Published online: 1990-03

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• Abstract
ln this paper we are devoted to the free boundary problem {u_t = ΔA(u) \quad (x,t) ∈ G_{r,r} u(x, 0) = φ(x) \quad ∈ G_0 u|_r = 0 (\frac{∂A(u)}{∂x_i}v_i + ψ(x)v_1)|_r = 0, where A'(u) ≥ 0. Under suitable assumptions we obtain the existence and uniqueness of global radial solutions for n =2 and local radial solutions for n ≥ 3.
• Keywords

High dimensions degenetate parabolic free boundary