论文信息 - Improved Stability Estimates for Classes of Illposed Cauchy Problems

Improved Stability Estimates for Classes of Illposed Cauchy Problems

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 Holder continuous dependence.

L. Payne

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