TY  - JOUR
AU  - Herrero, Miguel A.
AU  - Velázquez, J.J. L.
PY  - 1992
SN  - 0893-4983
UR  - https://hdl.handle.net/20.500.14352/58718
T2  - Differential and Integral Equations
AB  - Consider the Cauchy problem ut=uxx+up, x∈R, t>0, u(x,0)=u0(x), x∈R, where p>1 and u0(x) is continuous, nonnegative and bounded. Assume that u(x,t) blows up at x=0, t=T and set u(x,t)=(T−t)−1/(p−1)φ(y,τ), y=x/T−t−−−−√, τ=−ln(T−t). Here we show that...
M2  - 973
PB  - Khayyam Publishing
KW  - Semi-linear heat equation
KW  - Cauchy problem
TI  - Flat blow-up in one-dimensional semilinear heat equations
TY  - journal article
VL  - 5
ER  -