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Geometric problems in PDEs with applications to mathematical physics

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Abstract

Many questions that arise naturally in the study of the PDEs of mathematical physics are of a strongly geometric or topological nature. In this paper we will provide a gentle invitation to this vibrant area of research by presenting, in a completely non-technical manner, some recent results of the author in this direction.

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Acknowledgments

A.E. is supported by the Spanish MINECO through the Ramón y Cajal program. This work is supported in part by the grants FIS2011-22566 and SEV-2011-0087.

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Authors and Affiliations

  1. Instituto de Ciencias Matemáticas, Consejo Superior de Investigaciones Científicas, 28049 , Madrid, Spain

    Alberto Enciso

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  1. Alberto Enciso
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Correspondence to Alberto Enciso.

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Enciso, A. Geometric problems in PDEs with applications to mathematical physics. SeMA 65, 1–11 (2014). https://doi.org/10.1007/s40324-014-0015-8

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