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Convolutional Calculus of Dimovski and QR-regularization of the Backward Heat Problem

Bazhlekova, Emilia — 2015

Serdica Mathematical Journal

[Bazhlekova Emilia; Бажлекова Емилия] The final value problem for the heat equation is known to be ill-posed. To deal with this, in the method of quasi-reversibility (QR), the equation or the final value condition is perturbed to form an approximate well-posed problem, depending on a small parameter ε. In this work, four known quasi-reversibility techniques for the backward heat problem are considered and the corresponding regularizing problems are treated using the convolutional calculus...

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