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| On the Cauchy Problem Describing an Electron-Phonon Interaction |
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Citation： |
Jo˜ao-Paulo DIAS,M´ario FIGUEIRA,Filipe OLIVEIRA.On the Cauchy Problem Describing an Electron-Phonon Interaction[J].Chinese Annals of Mathematics B,2011,32(4):483~496 |
| Page view： 1724
Net amount： 1056 |
Authors： |
Jo?ao-Paulo DIAS; M′ario FIGUEIRA; Filipe OLIVEIRA; |
Foundation： |
the Funda?c?ao para a Ciencia e Tecnologia, Financiamento Base (Nos. 2008-ISFL-1-209,
2008-ISFL-1-297) and the Funda?c?ao para a Ciencia e Tecnologia Grant (No. PTDC/MAT/110613/2009). |
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| 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¨odinger-like equations, Cauchy problem, Blow-up, Phonon-electron
interaction |
Classification： |
37L50, 35L55, 35B44 |
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