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math.AP2023
Domains of dependence for subelliptic wave equations and unique continuation for fractional powers of Hörmander's operators
Nicolas Burq, Claude Zuily
We prove the sharp domain of dependence property for solutions to subelliptic wave equations for sums of squares of vector fields satisfying Hörmander bracket condition. We deduce…
math.AP2023★ 1 cited
Virial theorems and equipartition of energy for water-waves
Thomas Alazard, Claude Zuily
We study several different aspects of the energy equipartition principle for water waves. We prove a virial identity that implies that the potential energy is equal, on average, to…