Geodesic
On an initial inverse problem in nonlinear heat equation associated with time-dependent coefficient
Applications of Mathematics, Tome 59 (2014) no. 4, pp. 453-472.

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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.
DOI : 10.1007/s10492-014-0066-2
Classification : 35K05, 35K15, 35K58, 35K99, 35R30, 47J06
Keywords: nonlinear heat problem; ill-posed problem; Fourier transform; time-dependent coefficient 
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     author = {Nguyen Huy, Tuan},
     title = {On an initial inverse problem in nonlinear heat equation associated with time-dependent coefficient},
     journal = {Applications of Mathematics},
     pages = {453--472},
     publisher = {mathdoc},
     volume = {59},
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     zbl = {06362238},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-014-0066-2/}
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Nguyen Huy, Tuan. On an initial inverse problem in nonlinear heat equation associated with time-dependent coefficient. Applications of Mathematics, Tome 59 (2014) no. 4, pp. 453-472. doi : 10.1007/s10492-014-0066-2. http://geodesic.mathdoc.fr/articles/10.1007/s10492-014-0066-2/

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