Methods for Solving Incorrectly Posed Problems

Some problems of mathematical physics and analysis can be formulated as the problem of solving the equation f € F, (1) Au = f, where A: DA C U + F is an operator with a non-empty domain of definition D , in a metric space U, with range in a metric space F. The metrics A on U and F will be denoted by P and P '' respectively. Relative u F to the twin spaces U and F, J. Hadamard P-06] gave the follow...