Improved Stability Estimates for Classes of Illposed Cauchy Problems
- 2 May 1985
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 19 (2-3) , 63-74
- https://doi.org/10.1080/00036818508839534
Abstract
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.Keywords
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