An improved stability result for a heat equation backward in time with nonlinear source
نویسندگان
چکیده
We consider a nonlinear backward heat conduction problem in a strip. The problem is ill-posed in the sense that the solution (if it exists) does not depend continuously on the data. We shall use a modified integral equation method to regularize the nonlinear problem. The error estimates of Hölder type of the regularized solutions are obtained. AMS subject classifications: 35K05, 35K99, 47J06, 47H10
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