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math.AP2025
Abstract boundary delay systems and application to network flow
András Bátkai, Marjeta Kramar Fijavž, Abdelaziz Rhandi
This paper investigates the well-posedness and positivity of solutions to a class of delayed transport equations on a network. The material flow is delayed at the vertices and alon…
math.AP2025
Bounded -calculus for vectorial-valued operators with Gaussian kernel estimates
Davide Addona, Vincenzo Leone, Luca Lorenzi +1
We prove that the vector-valued generator of a bounded holomorphic semigroup represented by a kernel satisfying Gaussian estimates with bounded -calculus in $L^2(\mathbb…