Fourth-Order Damped Wave Equation with Exponential Growth Nonlinearity

被引：0

作者：

Tarek Saanouni

机构：

[1] University of Tunis El Manar,Faculty of Science of Tunis

[2] LR03ES04 partial differential Equations and applications,undefined

来源：

Annales Henri Poincaré | 2017年 / 18卷

关键词：

D O I：

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中图分类号：

学科分类号：

摘要：

The initial boundary value problem for a damped fourth-order wave equation with exponential growth nonlinearity is investigated in four space dimensions. In the defocusing case, global well-posedness, scattering and exponential decay are established. In the focusing sign, existence of ground state, instability of standing waves and blow-up results are obtained.

引用

页码：345 / 374

页数：29

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