Geodesic
On the well-posedness of a model problem of heat and mass transfer in homogeneous semiconductor targets
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1, Tome 206 (2022), pp. 133-137

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Based on the methods of the qualitative theory of differential equations, we examine the well-posedness of the mathematical model of one-dimensional diffusion of nonequilibrium charge carriers generated by an electron beam. We prove the continuous dependence of solutions on input data and obtain estimates of the influence of errors in the initial data on the distribution of the diffusing impurity. The results obtained can be used in electron probe technologies.
Keywords: mathematical model, Cauchy problem, semiconductor, well-posedness.
Mots-clés : diffusion equation 
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     author = {D. V. Turtin and V. V. Kalmanovich and M. A. Stepovich},
     title = {On the well-posedness of a model problem of heat and mass transfer in homogeneous semiconductor targets},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {133--137},
     publisher = {mathdoc},
     volume = {206},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2022_206_a11/}
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D. V. Turtin; V. V. Kalmanovich; M. A. Stepovich. On the well-posedness of a model problem of heat and mass transfer in homogeneous semiconductor targets. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1, Tome 206 (2022), pp. 133-137. http://geodesic.mathdoc.fr/item/INTO_2022_206_a11/