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 semilin...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.展开更多
基金Project supported by the Fundacao para a Ciencia e Tecnologia, Financiamento Base (Nos. 2008-ISFL-1-209,2008-ISFL-1-297)the Fundacao para a Ciencia e Tecnologia Grant (No. PTDC/MAT/110613/2009)
文摘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.