On the behavior of the solutions of certain nonlinear parabolic problems (Spanish: Sobre el comportamiento de las soluciones de ciertos problemas parabólicos no lineales)

Herrero, Miguel A.2023-06-212023-06-2119810034-0596https://hdl.handle.net/20.500.14352/64876For 1<p<∞ let Δpu=∑ni=1Dxi(|Dxiu|p−2Dxiu). Consider the initial value problem (∗) ut−Δpu+β(u)=0 for (x,t)∈Rn×[0,T], u(0)=u0(x) for x∈Rn. Here β is a continuous, nondecreasing real function such that β(0)=0. The author obtains sufficient conditions for the existence of both finite extinction time and compact support in x for solutions of (∗). Some counterexamples are given when the conditions are removed.spaOn the behavior of the solutions of certain nonlinear parabolic problems (Spanish: Sobre el comportamiento de las soluciones de ciertos problemas parabólicos no lineales)journal articlehttp://dmle.cindoc.csic.es/revistas/detalle.php?numero=5527http://dmle.cindoc.csic.es/http://www.rac.es/0/0_1.phprestricted access517.9517.956.4Ecuaciones diferenciales1202.07 Ecuaciones en Diferencias