 |
Доповіді НАН України. – 2007. – N 4. – С. 29–35.
Эллиптические краевые задачи в многосвязной области в уточненной шкале пространств
А.А. Мурач
Abstract
A mixed elliptic boundary-value problem for a differential equation
over a multiply connected bounded domain is studied. The boundary
conditions have different orders on the distinct connected components of
the boundary. We prove that the operator of the problem is a Fredholm one on the
one-sided refined scale of functional Hilbert spaces. Elements of this scale are the
isotropic spaces of Hörmander–Volevich–Paneyakh. A mixed elliptic
boundary-value problem with parameter is investigated as well.
Повний текст статі в pdf-форматі
| Назад до номера | Вибір номера | Головна сторінка журналу | Головна сторінка Порталу |