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Scattering for a critical nonlinear wave equation in two space dimensions

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Abstract

We show that the solutions to the Cauchy problem for a wave equation with critical exponential nonlinearity in 2 space dimensions scatter for arbitrary smooth, compactly supported initial data.

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Authors and Affiliations

  1. Mathematik, ETH Zürich, 8092, Zurich, Switzerland

    Martin Sack & Michael Struwe

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  1. Martin Sack
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  2. Michael Struwe
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Correspondence to Michael Struwe.

Additional information

Supported by SNF Grant 200021_140467.

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Sack, M., Struwe, M. Scattering for a critical nonlinear wave equation in two space dimensions. Math. Ann. 365, 969–985 (2016). https://doi.org/10.1007/s00208-015-1282-0

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