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 = &#916A(u) \quad (x,t) &#8712 G_{r,r} u(x, 0) = &#966(x) \quad &#8712 G_0 u|_r = 0 (\frac{&#8706A(u)}{&#8706x_i}v_i + &#968(x)v_1)|_r = 0, where A'(u) &#8805 0. Under suitable assumptions we obtain the existence and uniqueness of global radial solutions for n =2 and local radial solutions for n &#8805 3.