Geodesic
New integral relationships based on the Tikhonov–Samarsky potential for analytical solutions boundary problems of nonsteady transfer
Matematičeskoe modelirovanie, Tome 10 (1998) no. 5, pp. 119-127 Cet article a éte moissonné depuis la source Math-Net.Ru

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An improved approach based on the heat potentials described by Tikhonov and Samarsky as reference to boundary problems for equations of parabolic type in non-cylindric areas was developed. For the area with nonuniformly moving boundary the method gives new (the simplest) integral relationships of a new form with respect to the results that was known earlier. They allow to consider many partial cases having a practical interest for numerous applications of the nonsteady transfer process. 
@article{MM_1998_10_5_a11,
     author = {\`E. M. Kartashov and A. G. Rubin and I. A. Dzhemesiuk},
     title = {New integral relationships based on the {Tikhonov{\textendash}Samarsky} potential for analytical solutions boundary problems of nonsteady transfer},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {119--127},
     year = {1998},
     volume = {10},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1998_10_5_a11/}
}
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È. M. Kartashov; A. G. Rubin; I. A. Dzhemesiuk. New integral relationships based on the Tikhonov–Samarsky potential for analytical solutions boundary problems of nonsteady transfer. Matematičeskoe modelirovanie, Tome 10 (1998) no. 5, pp. 119-127. http://geodesic.mathdoc.fr/item/MM_1998_10_5_a11/