Geodesic
Regularization of Boundary-Value Problems for Hyperbolic Equations
Matematičeskie zametki, Tome 93 (2013) no. 2, pp. 202-208

Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of the stability of wave propagation in anisotropic inhomogeneous media is considered. The class of approximate solutions possessing the stability property with respect to the small deviations of the input data in the form regularizing the operators $R(\varphi,\psi,x,t,\alpha)$ is constructed. Here an important role is played by the choice of the smoothing function and by the conditions for matching the regularization parameter with the error.
Keywords: hyperbolic equation, regularization of boundary-value problems, wave propagation in anisotropic inhomogeneous media, stability property with respect to the small deviations of the input data, Fourier series, regularized solution. 
@article{MZM_2013_93_2_a4,
     author = {Kh. Sh. Dzhurazoda},
     title = {Regularization of {Boundary-Value} {Problems} for {Hyperbolic} {Equations}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {202--208},
     publisher = {mathdoc},
     volume = {93},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2013_93_2_a4/}
}
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Kh. Sh. Dzhurazoda. Regularization of Boundary-Value Problems for Hyperbolic Equations. Matematičeskie zametki, Tome 93 (2013) no. 2, pp. 202-208. http://geodesic.mathdoc.fr/item/MZM_2013_93_2_a4/