Herrero, Miguel A.Bardos, C.Damlamian, A.Díaz Díaz, Jesús IldefonsoHernández, J.2023-06-212023-06-2119830-273-08595-6https://hdl.handle.net/20.500.14352/65476Proceedings of the international meeting on nonlinear partial differential equations held in Madrid, December 14–17, 1981The 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}.book parthttp://cisne.sim.ucm.es/record=b1022630~S6*spimetadata only access517.9Growth of the interfaceslarge time behaviourCauchy problemEcuaciones diferenciales1202.07 Ecuaciones en Diferencias