Email this article Error Estimate for the Stationary Galerkin Method Applied to a Semilinear Parabolic Equation with Alternating Time Direction
- Authors: Efimova E.S.1, Egorov I.E.1, Kolesova M.S.1
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Affiliations:
- M. K. Ammosov North-Eastern Federal University
- Issue: Vol 213, No 6 (2016)
- Pages: 838-843
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237273
- DOI: https://doi.org/10.1007/s10958-016-2745-x
- ID: 237273
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Abstract
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.
About the authors
E. S. Efimova
M. K. Ammosov North-Eastern Federal University
Email: IvanEgorov51@mail.ru
Russian Federation, 58, Belinskogo St., Yakutsk, 677000
I. E. Egorov
M. K. Ammosov North-Eastern Federal University
Author for correspondence.
Email: IvanEgorov51@mail.ru
Russian Federation, 48, Kulakovskogo St., Yaskutsk, 677891
M. S. Kolesova
M. K. Ammosov North-Eastern Federal University
Email: IvanEgorov51@mail.ru
Russian Federation, 58, Belinskogo St., Yakutsk, 677000
