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一类带非局部项的Allen-Cahn方程解的存在性

, PP. 184-187

Keywords: Allen-Cahn方程,非局部项,初边值问题

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Abstract:

从图像处理中的修复、去噪与分割等问题出发,结合两相流的数学理论,提出了一类具有非局部项的Allen-Cahn方程的初边值问题,该方程与经典的Allen-Cahn方程相比,最大的不同之处是主部含有非局部项,然后利用Schauder不动点定理得到了带非局部项的Allen-Cahn方程初边值问题解的存在性

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