%0 Journal Article
%A Herrero, Miguel A.
%A Velázquez, J.J. L.
%T Generic blow-up behavior of solutions of one-dimensional semilinear parabolic problems
%D 1992
%@ 0764-4442
%U https://hdl.handle.net/20.500.14352/57862
%X We consider the Cauchy problem (1) u(t) = u(xx) + u(p); x Є R, t > 0, p > 1 (2) u(x, 0) = u0 (x), x Є 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).
%~