Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations
Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations
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DOI：
10.1007/s002080200008
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发表时间：
2002-12
影响因子：
1.4
通讯作者：
Shuji Machihara;K. Nakanishi;T. Ozawa
中科院分区：
文献类型：
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作者：
Shuji Machihara;K. Nakanishi;T. Ozawa
研究了非线性Klein-Gordon方程柯西问题的非相对论性极限，证明了在去除时间上的无限振荡后，能量空间中任何有限能量解都收敛到相应的非线性薛定谔方程解。文中还给出了最优收敛速度。
We study the nonrelativistic limit of the Cauchy problem for the nonlinear Klein-Gordon equation and prove that any finite energy solution converges to the corresponding solution of the nonlinear Schrödinger equation in the energy space, after the infinite oscillation in time is removed. We also derive the optimal rate of convergence in.