RT Book, Section
T1 On the growth of the interfaces of a nonlinear degenerate parabolic equation
A1 Herrero, Miguel A.
A2 Bardos, C.
A2 Damlamian, A.
A2 Díaz Díaz, Jesús Ildefonso
A2 Hernández, J.
AB The author deals with the propagation of the support of the initial function in the following problem: ut−(um)xx+cun=0 on R×(0,+∞), u(x,0)=u0(x) on R with n≥m>1, c>0; u0 is bounded and has bounded support, and u0≥0. The author proves the following result: If u is a generalized solution to the above problem and ζ(t)=sup{x∈R: u(t,x)>0} then for n=m, ζ(t)≤ζ(2)+Alnt; and for m<n<m+2,ζ(t)≤ζ(2)+Btβ. A similar result holds for ζ(t)=inf{x∈R: u(t,x)>0}.
PB Pitman
SN 0-273-08595-6
YR 1983
FD 1983
LK https://hdl.handle.net/20.500.14352/65476
UL https://hdl.handle.net/20.500.14352/65476
NO Proceedings of the international meeting on nonlinear partial differential equations held in Madrid, December 14–17, 1981
DS Docta Complutense
RD 16 may 2024