i need to find non trivial conditions, for which the following system is well posed.
and then prove it is well posed.
the conditions should be on B obiuosly.
but i dont know of what kind, and how to prove it is well posed
i dont must use the optimal B, but i need one that would be easy to prove
i guess that taking B to be unitare ( B=B*), will solve it, but i'm not sure