On the Cauchy Problem describing an electron-phonon interaction

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

Schrödinger-like equations / Cauchy problem / Blow-up / Phonon-electron interaction

References

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