2 papers
math.AP2026
On a semilinear heat equation on infinite graphs II: blow-up for arbitrary initial data and global existence
Fabio Punzo, Federico Zucchero
This paper is the second part of the study initiated in a companion work and is devoted to finite-time blow-up and global existence for a semilinear heat equation on infinite weigh…
math.AP2026
On a semilinear heat equation on infinite graphs I: blow-up for large initial data
Fabio Punzo, Federico Zucchero
We investigate finite-time blow-up of solutions to the Cauchy problem for a semilinear heat equation posed on infinite graphs. Assuming that the initial datum is sufficiently large…