Existence of global decaying solutions to the initial boundary value problem for quasilinear viscoelastic equations of p-Laplacian type with a derivative nonlinearity

Mitsuhiro Nakao

研究成果: Article査読

1 被引用数 (Scopus)

抄録

We prove the existence of global decaying solutions to the initial boundary value problem for the quasilinear wave equation of p-Laplacian type with Kelvin-Voigt dissipation and a derivative nonlinearity. To derive the required estimates of the solutions we employ a ‘loan’ method and a difference inequality for the energy.

本文言語English
ページ(範囲)63-82
ページ数20
ジャーナルKyushu Journal of Mathematics
70
1
DOI
出版ステータスPublished - 2016
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

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