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Galerkin Method for Semilinear Parabolic Equation with Varying Time Direction


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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

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