Geodesic
Reconstruction of boundary disturbances: the case of Neumann boundary conditions
Trudy Instituta matematiki i mehaniki, Dynamical systems and control problems, Tome 11 (2005) no. 1, pp. 160-176

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A problem of dynamical reconstruction of boundary disturbances in a nonlinear parabolic equation is considered. In the case when a disturbance is concentrated in the Neumann boundary conditions, two solving algorithms stable with respect to informational noises and computational errors are described. 
@article{TIMM_2005_11_1_a14,
     author = {V. I. Maksimov},
     title = {Reconstruction of boundary disturbances: the case of {Neumann} boundary conditions},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {160--176},
     publisher = {mathdoc},
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     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2005_11_1_a14/}
}
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V. I. Maksimov. Reconstruction of boundary disturbances: the case of Neumann boundary conditions. Trudy Instituta matematiki i mehaniki, Dynamical systems and control problems, Tome 11 (2005) no. 1, pp. 160-176. http://geodesic.mathdoc.fr/item/TIMM_2005_11_1_a14/