Existence of a solution of the wave equation with nonlinear damping and source terms

Vladimir Georgiev; Grozdena Todorova

doi:10.1006/jdeq.1994.1051

Existence of a solution of the wave equation with nonlinear damping and source terms

Vladimir Georgiev, Grozdena Todorova

研究成果: Article › 査読

507 被引用数 (Scopus)

抄録

We study the nonlinear wave equation involving the nonlinear damping term u_t |u_t|^m-1 and a source term of type u |u|^p-1. For 1 < p ≤ m we prove a global existence theorem with large initial data. For 1 < m < p a blow-up result is established for sufficiently large initial data.

本文言語	English
ページ（範囲）	295-308
ページ数	14
ジャーナル	Journal of Differential Equations
巻	109
号	2
DOI	https://doi.org/10.1006/jdeq.1994.1051
出版ステータス	Published - 1994 4月 15
外部発表	はい

ASJC Scopus subject areas

分析
応用数学

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10.1006/jdeq.1994.1051

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abstract = "We study the nonlinear wave equation involving the nonlinear damping term ut |ut|m-1 and a source term of type u |u|p-1. For 1 < p ≤ m we prove a global existence theorem with large initial data. For 1 < m < p a blow-up result is established for sufficiently large initial data.",

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Existence of a solution of the wave equation with nonlinear damping and source terms

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