Source condition in variational regularization
= Source condition in variational regularization
A $J$-minimizing exact solution $u^\dagger$ satisfies the source condition when some $w^\dagger\in Y^*$ obeys
$$
p^\dagger=A^*w^\dagger\in\partial J(u^\dagger).
$$
It connects a penalty subgradient to the range of the adjoint forward operator.