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添加1字节 、 2020年10月24日 (六) 09:08
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This solution approaches infinity if  is not an integer multiple of  for any non-zero value of . The Cauchy problem for the Laplace equation is called ill-posed or not well-posed, since the solution does not continuously depend on the data of the problem. Such ill-posed problems are not usually satisfactory for physical applications.
 
This solution approaches infinity if  is not an integer multiple of  for any non-zero value of . The Cauchy problem for the Laplace equation is called ill-posed or not well-posed, since the solution does not continuously depend on the data of the problem. Such ill-posed problems are not usually satisfactory for physical applications.
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对于任何非零的{{mvar|y}}如果{{mvar|nx}}不是{{pi}}的整数倍,这个解会接近于无穷大。拉普拉斯方程的柯西问题被称为不适定问题(可以译为ill-posed或not well-posed),因为该问题的解并不连续地依赖于该问题的数据。这种不适定问题在物理应用中通常不能令人满意。
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对于任何非零的{{mvar|y}}如果{{mvar|nx}}不是{{\pi}}的整数倍,这个解会接近于无穷大。拉普拉斯方程的柯西问题被称为不适定问题(可以译为ill-posed或not well-posed),因为该问题的解并不连续地依赖于该问题的数据。这种不适定问题在物理应用中通常不能令人满意。
     
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