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 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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 
@article{10_1007_s10492_014_0066_2,
     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},
     year = {2014},
     volume = {59},
     number = {4},
     doi = {10.1007/s10492-014-0066-2},
     mrnumber = {3233554},
     zbl = {06362238},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-014-0066-2/}
}
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
SP  - 453
EP  - 472
VL  - 59
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10492-014-0066-2/
DO  - 10.1007/s10492-014-0066-2
LA  - en
ID  - 10_1007_s10492_014_0066_2
ER  - 
%0 Journal Article
%A Nguyen Huy, Tuan
%T On an initial inverse problem in nonlinear heat equation associated with time-dependent coefficient
%J Applications of Mathematics
%D 2014
%P 453-472
%V 59
%N 4
%U http://geodesic.mathdoc.fr/articles/10.1007/s10492-014-0066-2/
%R 10.1007/s10492-014-0066-2
%G en
%F 10_1007_s10492_014_0066_2
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

Cité par Sources :