Variational regularization and the method of quasisolutions are justified for unbounded closed operators. 1 Introduction. Variational Regularization. There is a large literature on methods for solving ill-posed problems, including variational regularization, the method of quasisolutions, and iterative and projection regularization -, to name a few. The case of ill-posed problems with a closed linear operator was discussed in , but the case of nonlinear, possibly unbounded, operators does not see
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