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Fourth-Order Damped Wave Equation with Exponential Growth Nonlinearity
Journal article   Peer reviewed

Fourth-Order Damped Wave Equation with Exponential Growth Nonlinearity

Tarek Saanouni
Annales Henri Poincaré, Vol.18(1), pp.345-374
01/01/2017

Abstract

Physical Sciences Physics Physics, Mathematical Physics, Multidisciplinary Physics, Particles & Fields Science & Technology
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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