Herrero, Miguel A.Velázquez, J.J. L.2023-06-202023-06-201992M. A. HERRERO et J. J. L. VELÁZQUEZ, Blow up behaviour of one dimensional semilinear parabolic équations, Ann. Inst. Henri Poincaré (à paraître). M. A. HERRERO et J. J. L. VELÁZQUEZ, Flat blow up in one-dimensional semilinear heat équations, Diff. and Intégral Equations (à paraître). S. FILIPPAS et R. V. KOHN, Refined asymptotics for the blow-up of ut—u = up (à paraître). F. MERLE, Solution of a nonlinear heat équation with arbitrarily given blow-up points (à paraître). M. A. HERRERO et J. J. L. VELÁZQUEZ, Blow up profiles in one-dimensional, semilinear parabolic problems, Comm. in P.D.E. (à paraître). M. A. HERRERO et J. J. L. VELÁZQUEZ, Generic behaviour of one-dimensional blow-up patterns (à paraître)0764-4442https://hdl.handle.net/20.500.14352/58723We consider the Cauchy problem (1) ut=uxx+up, x∈R, t>0, p>1, (2) u(x,0)=u0(x),x∈R, where u0(x) is continuous, nonnegative and bounded. Assume that the solution u(x,t) of (1), (2) blows up at x=0, t=T. We describe here the generic asymptotic behaviour of u(x,t) as (x,t) approaches (0,T)frajournal articlehttp://gallica.bnf.fr/ark:/12148/bpt6k58688425/f205.imagehttp://gallica.bnf.frrestricted access517.9517.956.4Ecuaciones diferenciales1202.07 Ecuaciones en Diferencias