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arXiv · 2011.14407

Applications of the Backus-Gilbert method to linear and some non linear equations

A. Leitao
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Abstract

We investigate the use of a functional analytical version of the Backus-Gilbert Method as a reconstruction strategy to get specific information about the solution of linear and slightly non-linear systems with Frechét derivable operators. Some a priori error estimates are shown and tested for two classes of problems: a nonlinear moment problem and a linear elliptic Cauchy problem. For this second class of problems a special version of the Green-formula is developed in order to analyze the involved adjoint equations.

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A. Leitao. 2020-11-29. Applications of the Backus-Gilbert method to linear and some non linear equations. https://doi.org/10.1088/0266-5611%2F14%2F5%2F012

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