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math.AP2026
Pointwise convergence to initial data of heat and Hermite-heat equations in Modulation Spaces
Divyang G. Bhimani, Rupak K. Dalai
We characterize weighted modulation spaces (data space) for which the heat semigroup converges pointwise to the initial data as time tends to zero. Here stan…
math.AP2025
A unified framework for pointwise convergence to the initial data of heat equations in metric measure spaces
Divyang G. Bhimani, Anup Biswas, Rupak K. Dalai
Given a metric measure space satisfying the volume doubling condition, we consider a semigroup and the associated heat operator. We propose general…