On the differentiability of solutions of the liminal dissipative equation
S. N. Alekseenko1, D. V. Khiteva2
| Annotation | There is established the conditions under which the solutions of the liminal dissipative equation have third derivatives with respect to the spatial variables. As principal conditions for a prolongation of solutions are formulated for the second derivatives, the equation for the second derivative of a solution to considered problem is constructed. The peculiarity of this equation is that its in the extended characteristic system has a convenient to deducing of global estimates form. |
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| Keywords | dislocation density, nonlinear first-order partial differential equation, liminality method of an additional argument |
1The professor of the applied mathematics chair, Nizhniy Novgorod State Technical University, Nizhniy Novgorod; sn-alekseenko@yandex.ru
2The undergraduate of the applied mathematics chair, Nizhniy Novgorod State Technical University, Nizhniy Novgorod; geheimberater@yandex.ru
Citation: S. N. Alekseenko, D. V. Khiteva, "[On the differentiability of solutions of the liminal dissipative equation]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,17:3 (2015) 7–11 (In Russian)
