Аннотация:
We study compactly supported solutions $u(x, t) \geqslant 0$, $x \in \mathbb{R}$, $t \geqslant 0$, to a one-dimensional quasilinear heat transfer equation degenerating for $u(x, t)=0$. The equation has a $u$-linear transport coefficient and a self-consistent source $\alpha u+\beta u^{2}$ of general form. For the blow-up time of compactly supported solutions we establish two-sided estimates depending
functionally on the initial conditions $u(x, 0)$.
Ключевые слова:approximation of solutions, compact support, nonlinear heat transfer equation,
blow-up regime, model solution.
