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• Resumen es exacto "In this thesis the problem of identifying the source term in a complete parabolic equation from noisy measurements taken at an arbitrary fixed time, is studied. The problem is solved analytically with Fourier techniques and it is shown that this solution turns out to be not stable. The non-stability of the solution is dealt with by three single-parameter families of regularization operators, designed to compensate the factor that causes the instability of the inverse operator. In addition, a technique is proposed for the choice of the regularization parameter and an optimal bound of type Hölder is obtained for the error of each estimation. Numerical examples, of different characteristics, show the benefits of the proposed strategies."

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