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On the Regularity Properties of the Wave Equation

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Physics on Manifolds

Part of the book series: Mathematical Physics Studies ((MPST,volume 15))

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

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4857-6

  • Online ISBN: 978-94-011-1938-2

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