Factorization techniques for the nonlinear model of quasi-stationary processes in crystalline semiconductors

Beatriz Juárez-Campos, Elena I. Kaikina, Pavel I. Naumkin, Hector Francisco Ruiz Paredes

Type: Article

Publication Date: 2018-01-01

Citations: 0

DOI: https://doi.org/10.7153/dea-2018-10-24

Abstract

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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Differential Equations & Applications - View - PDF

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+	Blow-up in Nonlinear Sobolev Type Equations	2011	A. B. Al’shin М. О. Корпусов А.Г. Свешников
+	Functional analysis: introduction to further topics in analysis	2012	Elias M. Stein Rami Shakarchi