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On the regularity of solutions to a class of nonlinear dispersive equations

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Abstract

We shall study special regularity properties of solutions to some nonlinear dispersive models. The goal is to show how regularity on the initial data is transferred to the solutions. This will depend on the spaces where regularity is measured.

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Acknowledgments

The first author was partially supported by CNPq and FAPERJ/Brazil. Part of this work was completed while the second author was visiting IMPA at Rio de Janeiro whose hospitality he would like to acknowledge. The authors would like to thank an anonymous referee whose comments helped to improve the presentation of this work.

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Authors and Affiliations

  1. IMPA Instituto Matemática Pura e Aplicada, Estrada Dona Castorina 110, Rio de Janeiro, RJ, 22460-320, Brazil

    Felipe Linares

  2. Department of Mathematics, University of California, Santa Barbara, CA, 93106, USA

    Gustavo Ponce & Derek L. Smith

Authors
  1. Felipe Linares
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  2. Gustavo Ponce
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  3. Derek L. Smith
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Correspondence to Gustavo Ponce.

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Linares, F., Ponce, G. & Smith, D.L. On the regularity of solutions to a class of nonlinear dispersive equations. Math. Ann. 369, 797–837 (2017). https://doi.org/10.1007/s00208-016-1452-8

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  • DOI: https://doi.org/10.1007/s00208-016-1452-8

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