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On the Cauchy Problem Describing an Electron-Phonon Interaction |
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| Authors: | Joao-Paulo DIAS Mario FIGUEIRA Filipe OLIVEIRA |
| Affiliation: | 1. Centro de Matemática e Aplicac(o)s Fundamentais and Faculdade de Ci(e)ncias, Universidade de Lisboa, Avenue Professor Gama Pinto 2, 1649-003 Lisboa, Portugal 2. Centro de Matemática e Aplica(c)(ō)es, Faculdade de Ci(e)ncias e Tecnologia, Universidade Nova de Lisboa, Monte da Caparica, Portugal |
| 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. |
| Keywords: | Schr(o)dinger-like equations Cauchy problem Blow-up Phonon-electron interaction |
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