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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.

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。

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。