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On an initial inverse problem in nonlinear heat equation associated with time-dependent coefficient

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Abstract

In this paper, a nonlinear backward heat problem with time-dependent coefficient in the unbounded domain is investigated. A modified regularization method is established to solve it. New error estimates for the regularized solution are given under some assumptions on the exact solution.

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Authors and Affiliations

  1. Institute for Computational Science and Technology, Ho Chi Minh City, Vietnam

    Tuan Nguyen Huy

  2. Fact. of Maths and Computation Science, University of Science, Ho Chi Minh City, Vietnam

    Tuan Nguyen Huy

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  1. Tuan Nguyen Huy
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Correspondence to Tuan Nguyen Huy.

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The research has been supported by Institute for Computational Science and Technology Ho Chi Minh City.

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Huy, T.N. On an initial inverse problem in nonlinear heat equation associated with time-dependent coefficient. Appl Math 59, 453–472 (2014). https://doi.org/10.1007/s10492-014-0066-2

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  • DOI: https://doi.org/10.1007/s10492-014-0066-2

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