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Inverse problem

Regularization of an inverse problem

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.


Source condition in variational regularization

Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 326 / 1 / b / Solution

Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 326 / 1 / e / Solution

Source condition in variational regularization

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Source condition in variational regularization

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