Friedman, AvnerHerrero, Miguel A.2023-06-202023-06-201987-06D. G. ARONSON, Regularity properties of flows through porous media, SIAM J. Appl.Math. 17 (1969), 461-467. H. BREZIS AND A. FRIEDMAN, Estimates on the support of solutions of parabolic variational inequalities, Illinois J. Math. 20 (1976) 82-98. H. BREZIS AND A. FRIEDMAN, Nonlinear parabolic equations involving measures as initial conditions, J. Math. Pures Appl. 62 (1983) 73-97. L. A. CAFFARELLI AND A. FRIEDMAN, Blow-up of solutions of nonlinear heat equations, J. Math. Anal. Appl., in press. L. C. EVANS AND B. F. KNERR, Instantaneous shrinking of the support of nonnegative solutions to certain nonlinear parabolic equations and variational inequalities, Illinois J. Math. 23 (1979) 153-166. A. FRIEDMAN, “Partial Differential Equations of Parabolic Type,” Krieger, Malabar, Fla., 1983. A. FRIEDMAN AND B. MCLEOD, Blow-up of positive solutions of semilinear heat equations, Indiana Univ. Math. J. 34 (1985), 425-447. J. FUJITA, On the blowing up of solutions of the Cauchy problem for ut = Δu + u(1+x), J. Fac. Sci. Univ Tokyo Sect. J 13 (1966) 109-124. Y. GIGA AND R. KOHN, Asymptotically self-similar blow-up of semilinear heat equations, Comm. Pure Appl. Math. 38 (1985) 297-319. A. GMIRA AND L. VERON, Large time behavior of solutions of a semilinear problem in R(N), J. Differential Equations 53 (1984) 258-276. A. S. KALASHNIKOV, The propagation of disturbances in problems of nonlinear heat conduction with absorption, USSR Comp. Math Math. Phys 14, 70-85. A. S. KALASHNIKOV, On the differential properties of generalized solutions of nonstationary filtration type, Vestnick Moscow Univ. Math 29 (1974) 62-68. S. KAMIN AND L. A. PELETIER, Large time behavior of the heat equation with absorption, Ann. Scuola Norm. Sup. Pisa 12 (1985), 393-408. L. L. MARTINSON, The finite velocity of propagation of thermal perturbations in media with constant thermal conductivity, Zh. Vychisl. Mat. i Mat. Fiz 16 (1976), 1233-1241. F. B. WEISLER, Single point blow-up for a semilinear initial value problem, J. Differential Equations 55 (1984), 204-224.0022-247X10.1016/0022-247X(87)90013-8https://hdl.handle.net/20.500.14352/57783Consider the initial-boundary value problem for ut=Δu-λu(q) with λ>0, 0<q<1; the initial data are nonnegative and the boundary data vanish. It is well known that the solution becomes extinct in finite time Τ, i.e., u(x, t) becomes identically zero for t ≥ T, where T is some positive number. In this paper we study the profile of x → u(x, t) as t → T.engExtinction properties of semilinear heat-equations with strong absorptionjournal articlehttp://www.sciencedirect.com/science/article/pii/0022247X87900138http://www.sciencedirect.comrestricted access517.956.4517.9Semilinearstrong absorptioninitial-boundary value probleminitial datanonnegativeEcuaciones diferenciales1202.07 Ecuaciones en Diferencias