On a simple maximum principle technique applied to equations on the circle
On a simple maximum principle technique applied to equations on the circle
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DOI：
10.1016/j.jde.2008.04.007
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发表时间：
2008-07
影响因子：
2.4
通讯作者：
Yu Lin;Dong-Ho Tsai
中科院分区：
文献类型：
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作者：
Yu Lin;Dong-Ho Tsai
对于S1上的一类一般拟线性方程，我们用一个非常简单的极大原理技术证明，只要解保持有限，它的所有导数也保持有限。给出了一些具体的例子。在适当的假设下，我们还导出了解的导数的指数衰减。
For a class of general quasilinear equations on S1, we show that, by a very simple maximum principle technique, as long as the solution stays finite, all of its derivatives also remain finite. Some specific examples are given. Under suitable assumptions, we also derive exponential decay of the derivatives of the solution.