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math.AP2026
Cancellations for dispersive PDEs with random initial data
Yvain Bruned, Leonardo Tolomeo
In this work, we provide a combinatorial formalism for dealing with the cancellations that have appeared recently in the context of dispersive PDEs with random initial data. The ma…
math.AP2026
Small-time estimates for a real moment problem with two-term Weyl spectral law
Rémi Buffe, Alessandro Duca
In this work, we first study the solvability of moment problems involving real exponentials and provide explicit estimates of the associated control cost. The result holds when the…
math.AP2025
Optimal stabilization rate for the wave equation with hyperbolic boundary condition
Hugo Parada, Nicolas Vanspranghe
We show that the energy of classical solutions to the wave equation with hyperbolic boundary condition (i.e., dynamic Wentzell boundary condition) and damping on the boundary decay…