# Noncommutative waves have infinite propagation speed

@article{Durhuus2004NoncommutativeWH, title={Noncommutative waves have infinite propagation speed}, author={Bergfinnur Durhuus and Thordur Jonsson}, journal={Journal of High Energy Physics}, year={2004}, volume={2004}, pages={050-050} }

We prove the existence of global solutions to the Cauchy problem for noncommutative nonlinear wave equations in arbitrary even spatial dimensions where the noncommutativity is only in the spatial directions. We find that for existence there are no conditions on the degree of the nonlinearity provided the potential is positive. We furthermore prove that nonlinear noncommutative waves have infinite propagation speed, i.e., if the initial conditions at time 0 have a compact support then for any…

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