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

Tuan Nguyen Huy

Applications of Mathematics (2014)

  • Volume: 59, Issue: 4, page 453-472
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Nguyen Huy, Tuan. "On an initial inverse problem in nonlinear heat equation associated with time-dependent coefficient." Applications of Mathematics 59.4 (2014): 453-472. <http://eudml.org/doc/261922>.

@article{NguyenHuy2014,
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.},
author = {Nguyen Huy, Tuan},
journal = {Applications of Mathematics},
keywords = {nonlinear heat problem; ill-posed problem; Fourier transform; time-dependent coefficient; nonlinear heat problem; ill-posed problem; Fourier transform; time-dependent coefficient},
language = {eng},
number = {4},
pages = {453-472},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On an initial inverse problem in nonlinear heat equation associated with time-dependent coefficient},
url = {http://eudml.org/doc/261922},
volume = {59},
year = {2014},
}

TY - JOUR
AU - Nguyen Huy, Tuan
TI - On an initial inverse problem in nonlinear heat equation associated with time-dependent coefficient
JO - Applications of Mathematics
PY - 2014
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 4
SP - 453
EP - 472
AB - 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.
LA - eng
KW - nonlinear heat problem; ill-posed problem; Fourier transform; time-dependent coefficient; nonlinear heat problem; ill-posed problem; Fourier transform; time-dependent coefficient
UR - http://eudml.org/doc/261922
ER -

References

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