Geodesic
A quasi-boundary value method for regularizing nonlinear ill-posed problems
Electronic journal of differential equations, Tome 2009 (2009)
In this article, a modified quasi-boudary regularization method for solving nonlinear backward heat equation is given. Sharp error estimates for the approximate solutions, and numerical examples to illustrate the effectiveness our method are provided. This work extends to the nonlinear case earlier results by the authors [33,34] and by Clark and Oppenheimer [6].
Classification : 35K05, 35K99, 47J06, 47H10
Keywords: backward heat problem, nonlinearly ill-posed problem, quasi-boundary value methods, quasi-reversibility methods, contraction principle 
@article{EJDE_2009__2009__a154,
     author = {Trong,  Dang Duc and Quan,  Pham Hoang and Tuan,  Nguyen Huy},
     title = {A quasi-boundary value method for regularizing nonlinear ill-posed problems},
     journal = {Electronic journal of differential equations},
     year = {2009},
     volume = {2009},
     zbl = {1178.35374},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a154/}
}
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%A Tuan,  Nguyen Huy
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Trong,  Dang Duc; Quan,  Pham Hoang; Tuan,  Nguyen Huy. A quasi-boundary value method for regularizing nonlinear ill-posed problems. Electronic journal of differential equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a154/