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oai:docta.ucm.es:20.500.14352/648762023-08-11T03:26:55Zcom_20.500.14352_14col_20.500.14352_15

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. 517.9 517.956.4 Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias For 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. Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-21T02:06:40Z 2023-06-21T02:06:40Z 1981 journal article https://hdl.handle.net/20.500.14352/64876 0034-0596 spa restricted access application/pdf Real Academia de Ciencias Exactas, Físicas y Naturales