Semigroup Criteria for Blow-up and Global Existence of Semilinear Heat Equations on Metric Measure Spaces
We study finite-time blow-up and global existence for semilinear heat equations with time-dependent reaction coefficients on metric measure spaces. For convex nonlinearities, we establish a blow-up criterion that retains the dependence on the initial datum through its linear evolution and does not require stochastic co...