On the extrema of a nonconvex functional with double-well potential in 1D
On the extrema of a nonconvex functional with double-well potential in 1D
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DOI：
10.1007/s00033-016-0636-0
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发表时间：
2016-05
期刊：
影响因子：
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通讯作者：
D. Gao;Xiaojun Lu
中科院分区：
文献类型：
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作者：
D. Gao;Xiaojun Lu
本文主要利用非线性微分方程的方法研究一维双势阱非凸泛函的极值问题。基于正则对偶方法，将相应的Euler-Lagrange方程和Neumann边界条件转化为一个三次对偶代数方程，这将有助于寻找原问题的局部极值。
This paper mainly investigates the extrema of a nonconvex functional with double-well potential in 1D through the approach of nonlinear differential equations. Based on the canonical duality method, the corresponding Euler–Lagrange equation with Neumann boundary condition can be converted into a cubic dual algebraic equation, which will help find the local extrema for the primal problem.