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AMS (MOS): 35R25, 35B30, 35B45
In the literature when the method of weighted energy has been used to stabilize inherently unstable ill posed Cauchy problems, it has implied a weak logarithmic continuous dependence on the data. In this paper it is shown that in several classes of ill posed problems, a proper use of the method does,in fact, exhibit Hölder continuous dependence.
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