Fourth-Order Damped Wave Equation with Exponential Growth Nonlinearity

被引：0
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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
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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.
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页码：345 / 374
页数：29
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