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A modified quasi-boundary value method for an abstract ill-posed biparabolic problem

Khelili BesmaBoussetila NadjibRebbani Faouzia — 2017

Open Mathematics

In this paper, we are concerned with the problem of approximating a solution of an ill-posed biparabolic problem in the abstract setting. In order to overcome the instability of the original problem, we propose a modified quasi-boundary value method to construct approximate stable solutions for the original ill-posed boundary value problem. Finally, some other convergence results including some explicit convergence rates are also established under a priori bound assumptions on the exact solution....

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