Decay estimates of solutions for dissipative wave equations in R^N with lower power nonlinearities
Decay estimates of solutions for dissipative wave equations in R^N with lower power nonlinearities
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DOI：
10.2969/jmsj/1191418635
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发表时间：
2004-04
影响因子：
0.7
通讯作者：
R. Ikehata;Yasuaki Miyaoka;T. Nakatake
中科院分区：
文献类型：
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作者：
R. Ikehata;Yasuaki Miyaoka;T. Nakatake
本文将导出耗散波方程R N <$N <$1;2; 3 n中柯西问题弱解的最优能量衰减估计，这些方程具有较低的幂次非线性juj p 1 u，满足1 n 2=N < paN= 1/2 N 2 n。
Optimal energy decay estimates will be derived for weak solutions to the Cauchy problem in R N ðN ¼ 1;2;3Þ of dissipative wave equations, which have lower power nonlinearities juj p� 1 u satisfying 1 þ 2=N < paN=½N � 2� þ .