TY - JOUR AU - Herrero García, Miguel Ángel AU - López Velázquez, Juan José PY - 1992 DO - 10.1080/03605309208820839 SN - 0360-5302 UR - https://hdl.handle.net/20.500.14352/57863 T2 - Communications in Partial Differential Equations AB - Let u be a solution of the Cauchy problem ut=uxx+up, x∈R, t>0, u(x,0)=u0(x), x∈R, where p>1 and u0 is continuous, nonnegative, and bounded. Suppose that u blows up at t=T<∞ and u(x,t)≢(p−1)−1/(p−1)(T−t)−1/(p−1). The authors show that the blow-up set... M2 - 205 PB - Taylor & Francis KW - Heat-equations KW - Cauchy problem TI - Blow-up profiles in one-dimensional, semilinear parabolic problems TY - journal article VL - 17 ER -