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F. Punzo

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Preprint Oct 2026

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...

Giulia Meglioli, F. Punzo · 0 citations

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