# Small Data Wave Maps in Cyclic Spacetime

@article{Yagdjian2020SmallDW, title={Small Data Wave Maps in Cyclic Spacetime}, author={Karen Yagdjian and Anahit Galstian and Nathalie M. Luna-Rivera}, journal={Springer INdAM Series}, year={2020} }

We study the initial value problem for the wave maps defined on the cyclic spacetime with the target Riemannian manifold that is responsive (see definition of the self coherence structure) to the parametric resonance phenomena. In particular, for arbitrary small and smooth initial data we construct blowing up solutions of the wave map if the metric of the base manifold is periodic in time.

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