Abstract
The research we want to report about has been motivated by the study of the regularity properties of solutions to the equations of “wave maps3 ” defined from the Minkowski space-time M n+1 to a Riemannian manifold N. Our interest in these equations is due to the fact that they are the simplest system of wave equations, derived from a relativistic Lagrangean, which contain nonlinear terms quadratic in the first derivatives.
1Supported by the N.S.F. grant DMS-9103613
2Supported by a PYI award
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© 1994 Springer Science+Business Media Dordrecht
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Klainerman, S., Machedon, M. (1994). On the Regularity Properties of the Wave Equation. In: Flato, M., Kerner, R., Lichnerowicz, A. (eds) Physics on Manifolds. Mathematical Physics Studies, vol 15. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1938-2_12
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DOI: https://doi.org/10.1007/978-94-011-1938-2_12
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