TY - JOUR
T1 - Radial Solutions of Free Boundary Problems for Degenerate Parabolic Equations
AU - Li Huilai
JO - Journal of Partial Differential Equations
VL - 1
SP - 47
EP - 68
PY - 1990
DA - 1990/03
SN - 3
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5790.html
KW - High dimensions
KW - degenetate parabolic
KW - free boundary
AB - 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.