If the solution dosen't exist, does it mean that problem is not well-posed?

Question

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 !

for a problem to be well-posed all the three conditions need to be satisfied — , Sep 16 '13 at 02:58

score 2 · Answer 1 · answered Sep 16 '13 at 03:22

2

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

answered Sep 16 '13 at 03:22

Don Larynx

1 Answers1