Some problems for Petrovskii parabolic systems in generalized Sobolev spaces
O Diachenko, V Los - Journal of Elliptic and Parabolic Equations, 2022 - Springer
We consider an inhomogeneous initial-boundary value problem for a Petrovskii parabolic
system of second order PDEs. We prove that this problem induces isomorphisms between …
system of second order PDEs. We prove that this problem induces isomorphisms between …
A condition for generalized solutions of a parabolic problem for a Petrovskii system to be classical
V Los - arXiv preprint arXiv:2006.00553, 2020 - arxiv.org
We obtain a new sufficient condition under which generalized solutions to a parabolic initial-
boundary-value problem for a Petrovskii system and the homogeneous Cauchy data are …
boundary-value problem for a Petrovskii system and the homogeneous Cauchy data are …
[PDF][PDF] Умови регулярності розв'язків деяких параболічних систем
OV Diachenko, VM Los - Ukrains' kyi Matematychnyi Zhurnal, 2022 - umj.imath.kiev.ua
We investigate global and local regularity of generalized solutions to parabolic initial-
boundary value problem for Petrovskii system of second order differential equations. Results …
boundary value problem for Petrovskii system of second order differential equations. Results …
Regularity conditions for solutions to some parabolic systems
O Diachenko, V Los - arXiv preprint arXiv:2206.03821, 2022 - arxiv.org
We investigate global and local regularity of generalized solutions to parabolic initial-
boundary value problem for Petrovskii system of second order differential equations. Results …
boundary value problem for Petrovskii system of second order differential equations. Results …
[PDF][PDF] МIШАНI ЗАДАЧI ДЛЯ ПАРАБОЛIЧНИХ СИСТЕМ В УЗАГАЛЬНЕНИХ ПРОСТОРАХ СОБОЛЄВА 113–Прикладна математика Математика та статистика
ОВ ДЯЧЕНКО - ela.kpi.ua
Дисертацiя присвячена дослiдженню характеру розв'язностi та регулярностi розв'язкiв
лiнiйних мiшаних (тобто початково-крайових) задач для параболiчних за Петровським …
лiнiйних мiшаних (тобто початково-крайових) задач для параболiчних за Петровським …