B. Juárez-Campos, E. Kaikina, P. Naumkin, H. R. Paredes
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Factorization techniques for the nonlinear model of quasi-stationary processes in crystalline semiconductors
We consider the question of global existence and asymptotics of small solutions of a certain pseudoparabolic equation in one dimension . This model is motivated by the wave equation for media with a strong spatial dispersion, which appear in the nonlinear theory of the quasi-stationary processes in the electric media. We develop the factorization technique to study the large time asymptotics of solutions.
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