Error Estimate for the Stationary Galerkin Method Applied to a Semilinear Parabolic Equation with Alternating Time Direction
- Авторлар: Efimova E.1, Egorov I.1, Kolesova M.1
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Мекемелер:
- M. K. Ammosov North-Eastern Federal University
- Шығарылым: Том 213, № 6 (2016)
- Беттер: 838-843
- Бөлім: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237273
- DOI: https://doi.org/10.1007/s10958-016-2745-x
- ID: 237273
Дәйексөз келтіру
Аннотация
We prove the existence and uniqueness of a solution in the space W22,1(Q) to the first boundary value problem for a semilinear parabolic equation in a cylindrical domain Q ⊆ Rn+1. We obtain an error estimate in the W21,0(Q)-norm in terms of eigenvalues of the selfadjoint spectral problem for a second order elliptic equation. Bibliography: 5 titles.
Негізгі сөздер
Авторлар туралы
E. Efimova
M. K. Ammosov North-Eastern Federal University
Email: IvanEgorov51@mail.ru
Ресей, 58, Belinskogo St., Yakutsk, 677000
I. Egorov
M. K. Ammosov North-Eastern Federal University
Хат алмасуға жауапты Автор.
Email: IvanEgorov51@mail.ru
Ресей, 48, Kulakovskogo St., Yaskutsk, 677891
M. Kolesova
M. K. Ammosov North-Eastern Federal University
Email: IvanEgorov51@mail.ru
Ресей, 58, Belinskogo St., Yakutsk, 677000