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Shannon wavelet regularization methods for a backward heat equation

✍ Scribed by Jin-Ru Wang

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
216 KB
Volume
235
Category
Article
ISSN
0377-0427

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✦ Synopsis

We consider the backward heat equation

The solution u(x, t) on the final value t = T is an known function g T (x). This is a typical ill-posed problem, since the solution -if it exists -does not depend continuously on the final data. In this paper, we shall give a Shannon wavelet regularization method and obtain some quite sharp error estimates between the exact solution and the approximate solution defined in the scaling space V j .

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