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On the Cauchy Problem describing an electron-phonon interaction

Chinese Annals of Mathematics, Series B volume 32, pages 483–496 (2011)Cite this article

Abstract

In this paper, a model is derived to describe a quartic anharmonic interatomic interaction with an external potential involving a pair electron-phonon. The authors study the corresponding Cauchy Problem in the semilinear and quasilinear cases.

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Authors and Affiliations

  1. Centro de Matemática e Aplicações Fundamentais and Faculdade de Ciências, Universidade de Lisboa, Avenue Professor Gama Pinto 2, 1649-003, Lisboa, Portugal

    João-Paulo Dias & Mário Figueira

  2. Centro de Matemática e Aplicações, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Monte da Caparica, Portugal

    Filipe Oliveira

Authors
  1. João-Paulo Dias
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  2. Mário Figueira
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  3. Filipe Oliveira
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Corresponding author

Correspondence to João-Paulo Dias.

Additional information

Project supported by the Fundaçõao para a Ciencia e Tecnologia, Financiamento Base (Nos. 2008-ISFL-1-209, 2008-ISFL-1-297) and the Fundação para a Ciencia e Tecnologia Grant (No. PTDC/MAT/110613/2009).

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Dias, JP., Figueira, M. & Oliveira, F. On the Cauchy Problem describing an electron-phonon interaction. Chin. Ann. Math. Ser. B 32, 483–496 (2011). https://doi.org/10.1007/s11401-011-0663-2

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  • DOI: https://doi.org/10.1007/s11401-011-0663-2

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