A well-posed problem is defined as here.

If that is so, then does it mean that the solution/s of any over-determined or under-determined system is NOT well-posed?

Similarly, if the solution doesn't exist of any initial value or boundary value problem, does it mean that problem is not well-posed?

Perplexed !

  • $\begingroup$ for a problem to be well-posed all the three conditions need to be satisfied $\endgroup$ – user67133 Sep 16 '13 at 2:58

Since it violates 1) A solution exists (A SOLUTION NEEDN'T EXIST HERE!), this problem is not well-posed.


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