Galerkin Method for Semilinear Parabolic Equation with Varying Time Direction
- Authors: Egorov I.E.1, Efimova E.S.1
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Affiliations:
- M. K. Ammosov North-Eastern Federal University
- Issue: Vol 228, No 4 (2018)
- Pages: 372-379
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240253
- DOI: https://doi.org/10.1007/s10958-017-3628-5
- ID: 240253
Cite item
Abstract
We establish the unique solvability of the first boundary value problem for a semilinear second order parabolic equation with varying time direction by using a modified Galerkin method and the regularization method. We obtain a priori error estimates for approximate solutions.
About the authors
I. E. Egorov
M. K. Ammosov North-Eastern Federal University
Author for correspondence.
Email: IvanEgorov51@mail.ru
Russian Federation, 48, Kulakovskogo St., Yaskutsk, 677891
E. S. Efimova
M. K. Ammosov North-Eastern Federal University
Email: IvanEgorov51@mail.ru
Russian Federation, 48, Kulakovskogo St., Yaskutsk, 677891