【摘要】 研究外区域Ω上的四阶波动方程utt+Δ2u+ut=f(u)其中非线性项f(u)取为|u|αu,α>0.首先,得到一般外区域上解的能量衰减估计,即边界Ω不加任何几何条件.进而,提高初值的正则性,又得到更好的衰减估计.更多还原

【Abstract】 The paper considers the fourth order wave equations utt+Δ2u+ut=|u|αu in exterior domains.Energy decay derives in general exterior domain Ω without any geometrical condition imposed on the boundary Ω.Further,under the improved regularity of the initial data,a better decay results can be obtained.更多还原