Galerkin Method for Semilinear Parabolic Equation with Varying Time Direction
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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.
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References
- 1.E. S. Efimova, I. E. Egorov, and M. S. Kolesova, “Error estimate for the stationary Galerkin method applied to a semilinear parabolic equation with alternating time direction,” J. Math. Sci., New York 213, No. 6, 838–843 (2016).MathSciNetCrossRefMATHGoogle Scholar
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